Block #4,777,479

2CC0a.ed2583

Discovered 6/13/2022, 7:41:05 PM · Difficulty 10.8455 · 2,030,824 confirmations

Block Header
Block Hash
6cfaa343ab49be937831a1cbcf4392dc1f72fc92b258f65c81350d4cbd657933

Height

#4,777,479

Difficulty

10.845511

Transactions

5

Size

3.02 KB

Version

2

Bits

0ad87363

Nonce

355,243,832

Timestamp

6/13/2022, 7:41:05 PM

Confirmations

2,030,824

Merkle Root

84c11ee27fa597bf6dc2c538d14ce5c4923aad4e5a1631a3b76900466335d951
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.

3.801 × 10⁹⁶(97-digit number)
38012484548494173429…29529343770488961280
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.ed2583 formula:

Circulating Supply:57,710,478 XPM·at block #6,808,302 · updates every 60s
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