Block #2,654,556

TWN0b.f76a1e

Discovered 5/9/2018, 10:12:12 AM · Difficulty 11.7188 · 4,141,283 confirmations

Block Header
Block Hash
785dff716e636eeb1423dad031c5119ea1b1a7ecc32c26ce2d71a8214a5f6b4e

Height

#2,654,556

Difficulty

11.718841

Transactions

41

Size

14.34 KB

Version

2

Bits

0bb805f4

Nonce

1,273,010,215

Timestamp

5/9/2018, 10:12:12 AM

Confirmations

4,141,283

Merkle Root

354351f6bf5cf168514af955aefcdf02b2c22030e002b92207769aa8242a57ed
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.

6.675 × 10⁹⁵(96-digit number)
66759664934515731389…99075903526840033280
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 TWN0b.f76a1e formula:

Circulating Supply:57,610,795 XPM·at block #6,795,838 · updates every 60s
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