secp256k1 field prime — seal · invert · decode
1 · Abstract — precise statement
p = 2^2 ** 8 − 2^32 − 2^9 − 2^8 − 2^7 − 2^6 − 2^4 − 1 is the SECG secp256k1 field prime over GF(p). Sealed from powers of two; inverted as signed Σ±2^e plus mod-p inverses of units; decoded as the subtraction chain.
2 · Introduction
computes=true · hex=0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f · bits=256 · constructionInverted=true · bitcoinOwnershipClaimed=false. Structure of a known public curve prime — NOT wallet keys, NOT ECDSA, NOT Bitcoin ownership. certified=false · NOT a Clay Millennium solution (§5(d) related science). Mesh: CRYPTO_COMPARISON_MESH.
3 · Methods & formulas
p = 2^256 − 2^32 − 2^9 − 2^8 − 2^7 − 2^6 − 2^4 − 1 (= 2^256 − 2^32 − residue)4 · Results & status
structure-only — Known SECG prime recomputed; mod-p unit inverses hold; ownership claims refused.
no ECDSA/signing/wallet material — field modulus structure only
5 · References & locks
- claySolvedByThisFold
- 0
- physicalFtlClaim
- 0
- fold
- secp256k1FieldPrimeInvertAndDecode
4 · Trinity
- forward
seal-powers- inverse
mod-p-units- reverse
decode-chain
5 · CLI
npm run quantum:secp256k1-prime-invert-decode · pair secp256k1/invert-decode