Block #2,255,297

TWN0a.fb6426

Discovered 8/17/2017, 6:10:44 AM · Difficulty 10.9503 · 4,537,538 confirmations

Block Header
Block Hash
2cf00b06a2c2ab213a5c803074ae680d2e6ba603a7b397c862b9f5b9cd1a9677

Height

#2,255,297

Difficulty

10.950302

Transactions

36

Size

13.22 KB

Version

2

Bits

0af346fe

Nonce

23,997,837

Timestamp

8/17/2017, 6:10:44 AM

Confirmations

4,537,538

Merkle Root

491fd51779ba827e68a665126a8d0ae78b22d018b3a83fc94421b73ece8af4d4
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.

2.813 × 10⁹⁶(97-digit number)
28137104582812318809…57398037404963752960
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 TWN0a.fb6426 formula:

Circulating Supply:57,586,659 XPM·at block #6,792,834 · updates every 60s
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