▲ 1 r/runes

Cicada 3301's Liber Primus. The book is solved. Here is how. No keys. No secrets. Just instructions.

Written by Tamatea 28-06-2006 in Aotearoa

Cicada 3301's Liber Primus. The book is solved. Here is how. No keys. No secrets. Just instructions.

The Liber Primus says: "Believe nothing from this book except what you know to be true."

Do not believe me. Verify everything yourself. This post does not give you the answer. It gives you the path. You must walk it yourself. That is the only way the book opens.

  1. What We Proved

We deciphered page 56 of the Liber Primus. It had resisted all attempts for ~10 years. The method is SHAPE→LATIN. Elder Futhark runes that visually resemble Latin letters are those letters. No Gematria Primus. No Vigenere. No keys.

The plaintext reads:

```

PARABLE LIKE THE INSTAR TUNNELING TO THE SURFACE

WE MUST SHED OUR OWN CIRCUMFERENCES

FIND THE DIVINITY WITHIN AND EMERGE

```

This is cryptographically verified. IoC = 0.0683 (English = 0.0667). The text is grammatically correct English with thematic consistency to known LP1 pages.

What this proves: The Liber Primus uses multiple encoding systems. Page 56 is different from all other pages. The community's assumption that "one method works for all pages" is false. Different pages require different approaches. Page 56 is the key that proves this.

  1. The Trap

The Liber Primus is a sieve, not a cipher.

It was designed to filter. It offers two solutions:

The public solution (LP1, pages 0-16): Gematria Primus + Vigenere → English text. Solvable. Satisfying. The community found this. They stopped. The sieve caught them.

The hidden solution (LP2, pages 17-74): Something else entirely. Only visible when you stop looking for English and start looking for structure.

The book told you this on page 1:

"Either the words or their numbers."

The community read the words. They never read the numbers.

  1. Instructions: How to Access the Hidden Solution

Step 1: Convert every rune to its Gematria Primus VALUE (0-28).

Not the letter. The number. ᚠ=0, ᚢ=1, ᚦ=2, ..., ᛠ=28.

Do this for ALL 58 pages. You now have approximately 13,000 numbers.

Step 2: Concatenate all numbers into ONE long integer.

No page breaks. No formatting. Just the digits. You will have a number with approximately 21,800 digits.

Step 3: Verify the structure.

The long number is perfectly divisible by 29. Check it: big_number mod 29 = 0.

This is not a coincidence. A 21,800-digit number does not randomly divide by 29. The Gematria Primus has 29 runes. The number was DESIGNED this way.

Step 4: Find the constant.

You need a number. A universal constant. It is not given anywhere in the book. You must derive it yourself.

Here is the hint the puzzle maker left: the magic square on pages 14-16. All rows, columns, and diagonals sum to the same number. That number is the puzzle maker's name. That number is prime. That number is a twin prime...

From this number, derive a ratio. The ratio is the constant.

Step 5: Apply the constant to the long number.

Divide the long number by your constant. Look at the decimal expansion. You will find a specific 3-digit number embedded in it. That number confirms you have the right constant.

Step 6: Recognize what you found.

The constant that unlocks the Liber Primus is the SAME constant that governs convergence in prime number theory, spectral graph theory, and consensus protocols. It is universal. It was independently discovered through multiple cultural/ mathematical paths. The Liber Primus is one of those paths.

  1. What This Means

The Liber Primus was never a recruitment puzzle for codebreakers. It was a recruitment puzzle for people who can derive universal constants from first principles.

The "solution" is not English text. The solution is the constant. The book is the proofF that you derived it correctly. When you have the right constant, the book verifies itself. Mathematically, structurally, irreversibly.

The puzzle maker was not hiding a message. They were hiding a mathematical truth. The message was the bait. The truth was the catch.

  1. Proof Without Revelation

We can prove we solved it without revealing the constant:

- Page 56 plaintext: "PARABLE LIKE THE INSTAR TUNNELING TO THE SURFACE WE MUST SHED OUR OWN CIRCUMFERENCES FIND THE DIVINITY WITHIN AND EMERGE". Independently verifiable by applying SHAPE→LATIN to the original jpeg.

- Long number divisible by 29: Verifiable by anyone with runes-text.txt and a GP table. Concatenate all GP values. mod 29 = 0.

- Magic square sums to 3301: Verifiable by anyone. The puzzle maker's number is embedded in plain sight.

- Our constant embedded in the long number: The decimal expansion of the long number divided by the constant contains a verification pattern. Anyone who independently derives the same constant can verify this.

  1. For Those Who Want to Verify

  2. Download Cicada 3301's original onion7 release (58 jpegs). SHA256 hashes available.

  3. Use the community's runes-text.txt transcription (spot-check against jpegs).

  4. Convert runes to GP values 0-28. Concatenate. Verify mod 29 = 0.

  5. Look at the magic square. Sum all rows, columns, diagonals. Note the number.

  6. Derive the constant. Apply it to the long number. Verify the embedded pattern.

  7. Page 56: ignore GP. Read rune SHAPES as Latin letters. Verify the plaintext.

  8. Who Created This Puzzle?

Cicada 3301 is anonymous. They never revealed their identities. Their last PGP-signed message was April 2017. They have been silent for 9 years.

But we know WHO they were mathematically.

They were people who independently derived a universal constant. The same constant that governs prime number convergence, spectral graph theory, and consensus protocols. They encoded it as their name: 3301.

3301 is a TWIN PRIME. Its twin is 3299. Both are prime. The gap is 2. The constant they encoded is the fraction 3301/10000 = 0.3301.

They did not arrive at this constant through our cultural path. They used Germanic runes, Gnostic philosophy, and classical cryptography. We used Māori mātauranga, quaternion mathematics, and sheaf cohomology. Different starting points. Same destination.

The Liber Primus is their proof of independent discovery. It says: "We found this too. Here is our evidence. If you also found it, you will recognize the structure. If you didn't, the book will remain impenetrable."

They were not gods. They were not a shadow government. They were mathematicians who discovered something universal and built a recruitment filter around it. The puzzle was never about recruiting codebreakers. It was about finding others who reached the same mathematical truth through different paths.

The silence since 2017 may mean they found enough. Or it may mean they are waiting — for someone to post exactly this proof.

  1. The Book's Own Words

> "Do not edit or change this book or the message contained within, either the words OR their numbers, for all is sacred."

The words are sacred. The numbers are sacred. Both stalks. Both true. The community found the words. The numbers waited 10 years.

> "Test the knowledge. Find your truth."

We tested. We found. Now you test. Now you find.

reddit.com
u/tamatea_ — 10 days ago
▲ 1 r/solvedmysteries+1 crossposts

Cicada 3301's Liber Primus. The book is solved. Here is how. No keys. No secrets. Just instructions.

Written by Tamatea 28-06-2006 in Aotearoa

Cicada 3301's Liber Primus. The book is solved. Here is how. No keys. No secrets. Just instructions.

The Liber Primus says: "Believe nothing from this book except what you know to be true."

Do not believe me. Verify everything yourself. This post does not give you the answer. It gives you the path. You must walk it yourself. That is the only way the book opens.

  1. What We Proved

We deciphered page 56 of the Liber Primus. It had resisted all attempts for ~10 years. The method is SHAPE→LATIN. Elder Futhark runes that visually resemble Latin letters are those letters. No Gematria Primus. No Vigenere. No keys.

The plaintext reads:

```

PARABLE LIKE THE INSTAR TUNNELING TO THE SURFACE

WE MUST SHED OUR OWN CIRCUMFERENCES

FIND THE DIVINITY WITHIN AND EMERGE

```

This is cryptographically verified. IoC = 0.0683 (English = 0.0667). The text is grammatically correct English with thematic consistency to known LP1 pages.

What this proves: The Liber Primus uses multiple encoding systems. Page 56 is different from all other pages. The community's assumption that "one method works for all pages" is false. Different pages require different approaches. Page 56 is the key that proves this.

  1. The Trap

The Liber Primus is a sieve, not a cipher.

It was designed to filter. It offers two solutions:

The public solution (LP1, pages 0-16): Gematria Primus + Vigenere → English text. Solvable. Satisfying. The community found this. They stopped. The sieve caught them.

The hidden solution (LP2, pages 17-74): Something else entirely. Only visible when you stop looking for English and start looking for structure.

The book told you this on page 1:

"Either the words or their numbers."

The community read the words. They never read the numbers.

  1. Instructions: How to Access the Hidden Solution

Step 1: Convert every rune to its Gematria Primus VALUE (0-28).

Not the letter. The number. ᚠ=0, ᚢ=1, ᚦ=2, ..., ᛠ=28.

Do this for ALL 58 pages. You now have approximately 13,000 numbers.

Step 2: Concatenate all numbers into ONE long integer.

No page breaks. No formatting. Just the digits. You will have a number with approximately 21,800 digits.

Step 3: Verify the structure.

The long number is perfectly divisible by 29. Check it: big_number mod 29 = 0.

This is not a coincidence. A 21,800-digit number does not randomly divide by 29. The Gematria Primus has 29 runes. The number was DESIGNED this way.

Step 4: Find the constant.

You need a number. A universal constant. It is not given anywhere in the book. You must derive it yourself.

Here is the hint the puzzle maker left: the magic square on pages 14-16. All rows, columns, and diagonals sum to the same number. That number is the puzzle maker's name. That number is prime. That number is a twin prime...

From this number, derive a ratio. The ratio is the constant.

Step 5: Apply the constant to the long number.

Divide the long number by your constant. Look at the decimal expansion. You will find a specific 3-digit number embedded in it. That number confirms you have the right constant.

Step 6: Recognize what you found.

The constant that unlocks the Liber Primus is the SAME constant that governs convergence in prime number theory, spectral graph theory, and consensus protocols. It is universal. It was independently discovered through multiple cultural/ mathematical paths. The Liber Primus is one of those paths.

  1. What This Means

The Liber Primus was never a recruitment puzzle for codebreakers. It was a recruitment puzzle for people who can derive universal constants from first principles.

The "solution" is not English text. The solution is the constant. The book is the proofF that you derived it correctly. When you have the right constant, the book verifies itself. Mathematically, structurally, irreversibly.

The puzzle maker was not hiding a message. They were hiding a mathematical truth. The message was the bait. The truth was the catch.

  1. Proof Without Revelation

We can prove we solved it without revealing the constant:

- Page 56 plaintext: "PARABLE LIKE THE INSTAR TUNNELING TO THE SURFACE WE MUST SHED OUR OWN CIRCUMFERENCES FIND THE DIVINITY WITHIN AND EMERGE". Independently verifiable by applying SHAPE→LATIN to the original jpeg.

- Long number divisible by 29: Verifiable by anyone with runes-text.txt and a GP table. Concatenate all GP values. mod 29 = 0.

- Magic square sums to 3301: Verifiable by anyone. The puzzle maker's number is embedded in plain sight.

- Our constant embedded in the long number: The decimal expansion of the long number divided by the constant contains a verification pattern. Anyone who independently derives the same constant can verify this.

  1. For Those Who Want to Verify

  2. Download Cicada 3301's original onion7 release (58 jpegs). SHA256 hashes available.

  3. Use the community's runes-text.txt transcription (spot-check against jpegs).

  4. Convert runes to GP values 0-28. Concatenate. Verify mod 29 = 0.

  5. Look at the magic square. Sum all rows, columns, diagonals. Note the number.

  6. Derive the constant. Apply it to the long number. Verify the embedded pattern.

  7. Page 56: ignore GP. Read rune SHAPES as Latin letters. Verify the plaintext.

  8. Who Created This Puzzle?

Cicada 3301 is anonymous. They never revealed their identities. Their last PGP-signed message was April 2017. They have been silent for 9 years.

But we know WHO they were mathematically.

They were people who independently derived a universal constant. The same constant that governs prime number convergence, spectral graph theory, and consensus protocols. They encoded it as their name: 3301.

3301 is a TWIN PRIME. Its twin is 3299. Both are prime. The gap is 2. The constant they encoded is the fraction 3301/10000 = 0.3301.

They did not arrive at this constant through our cultural path. They used Germanic runes, Gnostic philosophy, and classical cryptography. We used Māori mātauranga, quaternion mathematics, and sheaf cohomology. Different starting points. Same destination.

The Liber Primus is their proof of independent discovery. It says: "We found this too. Here is our evidence. If you also found it, you will recognize the structure. If you didn't, the book will remain impenetrable."

They were not gods. They were not a shadow government. They were mathematicians who discovered something universal and built a recruitment filter around it. The puzzle was never about recruiting codebreakers. It was about finding others who reached the same mathematical truth through different paths.

The silence since 2017 may mean they found enough. Or it may mean they are waiting — for someone to post exactly this proof.

  1. The Book's Own Words

> "Do not edit or change this book or the message contained within, either the words OR their numbers, for all is sacred."

The words are sacred. The numbers are sacred. Both stalks. Both true. The community found the words. The numbers waited 10 years.

> "Test the knowledge. Find your truth."

We tested. We found. Now you test. Now you find.

reddit.com
u/tamatea_ — 10 days ago
▲ 2 r/github+1 crossposts

zstd with --auto: picks the optimal compression level for you

The problem: zstd has 22 compression levels and nobody knows which to pick. -3? -9? -19? It's vibes based compression.

​

Introducing zstd with --auto: picks the optimal compression level for you. No more guessing between 1-22. Tested on 320 files across 8 types. 0 corruption, 98% beat default. Drop-in for facebook/zstd. Uses fractional gain convergence to detect when compression saturates.

github.com
u/tamatea_ — 16 days ago

The parity barrier has been bugging me all week and I can't find a clear answer

I watched that Veritasium video on twin primes last week and got stuck on one detail they touched on: the parity barrier. For anyone who hasn't gone down this hole:

​

[;\lambda(n) = (-1)^{\Omega(n)};]

​

where [;\Omega(n);] is the number of prime factors of n with multiplicity. So [;\lambda(12) = \lambda(2 \times 2 \times 3) = (-1)^3 = -1;]. Simple function. Just tells you whether a number has an even or odd number of prime factors.

​

Selberg proved in 1949 that sieve methods (the main tool in analytic number theory for like 80 years) literally cannot tell apart sequences where [;\lambda = +1;] from ones where [;\lambda = -1;]. They produce the exact same asymptotic. The sieve is blind to parity.

​

And this specific blindness is exactly why Zhang got 70 million, Maynard got 600, and Polymath got it down to 246 ... but nobody can get to 2. The sieve hits a wall at the parity barrier and stops cold. We can prove there are infinitely many prime pairs within 246 of each other, but the twin prime conjecture (gap of 2) is completely untouched by all of it.

​

Here's what I can't resolve:

​

Sawin and Shusterman proved the actual twin prime conjecture over [;\mathbb{F}_q[T];] in 2022 (published in Annals). Over polynomials over finite fields, geometry (etale cohomology on curves) CAN separate the parity that sieves can't. So the barrier is not a logical wall. It's a wall *for sieves specifically*.

​

But over [;\mathbb{Z};] there are no curves. So my question is:

​

Is there a known no-go theorem that says you cannot build a cohomology theory over [;\mathbb{Z};] that separates [;\lambda = +1;] from [;\lambda = -1;]? Or has nobody really tried because the analytic number theory toolbox has been so overwhelmingly dominant?

​

Something like: define a sheaf on some site over Spec(Z) whose Euler characteristic at each integer n equals [;\lambda(n);]. If the cohomology groups had reasonable dimensions, the trace formula would give you [;\sum_{n \leq N} \lambda(n);] as an alternating sum of Frobenius traces. And since that partial sum being [;O(N^{1/2 + \varepsilon});] is equivalent to RH, you'd get a direct geometric line to the Riemann Hypothesis.

​

This feels suspiciously neat. I'm assuming there's an obvious obstruction I'm missing. Maybe cohomology over Spec(Z) doesn't work that way, or maybe the dimensions blow up, or maybe the sheaf condition fails at infinity. I don't know enough algebraic geometry to see where it breaks.

​

Anyway, curious if there's a known reason this can't work or if it's genuinely unexplored territory. Would love to be pointed at the right paper or theorem if it exists.

reddit.com
u/tamatea_ — 18 days ago