Block #1,252,880

TWN0a.ecd1b2

Discovered 9/25/2015, 12:06:16 PM · Difficulty 10.7864 · 5,537,143 confirmations

Block Header
Block Hash
4a5154b5c2120be8e7522ec18e2100ce6d33316dfddc3b697541a1ad200b0659

Height

#1,252,880

Difficulty

10.786415

Transactions

3

Size

1.36 KB

Version

2

Bits

0ac9527f

Nonce

982,926,170

Timestamp

9/25/2015, 12:06:16 PM

Confirmations

5,537,143

Merkle Root

dc01971cd364381d830106d71f4660ff1b61f30340cda777967da00845aa2ded
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.

7.577 × 10⁹⁶(97-digit number)
75777771959673176804…87101996980430028800
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.ecd1b2 formula:

Circulating Supply:57,564,170 XPM·at block #6,790,022 · updates every 60s