Block #31,098

2CC07.fde416

Discovered 7/13/2013, 9:59:27 PM · Difficulty 7.9881 · 6,758,256 confirmations

Block Header
Block Hash
3c69108ce6c8bf328846e8d4b1daddd09e2373a70fd5b465a2a7885f80cbfe4d

Height

#31,098

Difficulty

7.988098

Transactions

3

Size

1.12 KB

Version

2

Bits

07fcf3ff

Nonce

168

Timestamp

7/13/2013, 9:59:27 PM

Confirmations

6,758,256

Merkle Root

a2e43b59cb148b6807842b4a52bf930a7b857a923d7d6f63c3f6f73eb9ec5332
Transactions (3)
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.

2.235 × 10⁸⁶(87-digit number)
22350446752178116266…47693261362197926620
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 2CC07.fde416 formula:

Circulating Supply:57,558,784 XPM·at block #6,789,353 · updates every 60s