1. #6,808,3272CC11 primes

    Cunningham 2nd · ⛏️ coinsforall.io

Block #6,316,864

2CC0a.fffd49

Discovered 5/19/2025, 1:28:30 AM · Difficulty 10.9232 · 491,463 confirmations

Block Header
Block Hash
e14876704110057cbb3278edb8da3294e1c2c4eea24a1dc96f82e0294e52a6f0

Height

#6,316,864

Difficulty

10.923242

Transactions

1

Size

237 B

Version

2

Bits

0aec599c

Nonce

79,950

Timestamp

5/19/2025, 1:28:30 AM

Confirmations

491,463

Merkle Root

6421396daa7d106cb709cff579afb63dd83dd5bb39805c899fac93d19659f859
Transactions (1)
Prime Chain Origin

This is the prime chain origin stored in the block header. It is a composite number (not prime itself) — it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

6.398 × 10⁹⁹(100-digit number)
63982471957842825045…95400897024188880800
How Primecoin's Proof-of-Work Constructs These Primes

Primecoin stores a value called the prime chain origin in each block. The miner found a large integer such that when divided by a primorial (the product of small primes: 2 × 3 × 5 × 7 × …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial — that divisibility is part of the proof.

Prime Chain Origin = First Prime × Primorial (2·3·5·7·11·…)
Source: Primecoin prime.cpp — CheckPrimeProofOfWork()

This is why the origin has many small prime factors — those factors are the primorial divisor. The chain then extends from the first prime using the 2CC0a.fffd49 formula:

Circulating Supply:57,710,671 XPM·at block #6,808,326 · updates every 60s
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