Block #2,158,824

2CC0a.f82fa9

Discovered 6/13/2017, 9:05:49 AM · Difficulty 10.9043 · 4,634,017 confirmations

Block Header
Block Hash
75519cd53dfbdf7cd26ef156cda4d688594eb07df36517d3f3a6bb447289714b

Height

#2,158,824

Difficulty

10.904349

Transactions

24

Size

8.82 KB

Version

2

Bits

0ae78363

Nonce

709,710,275

Timestamp

6/13/2017, 9:05:49 AM

Confirmations

4,634,017

Merkle Root

cc4d7af40dc6184f672c0733743fbd895b16d8ee69e2e0d8324cd30047ce9e45
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.

8.307 × 10⁹³(94-digit number)
83079835279760833395…28314425458944144950
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.f82fa9 formula:

Circulating Supply:57,586,708 XPM·at block #6,792,840 · updates every 60s
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