Block #2,501,128

TWN0b.afc754

Discovered 2/1/2018, 6:09:51 PM · Difficulty 10.9767 · 4,289,815 confirmations

Block Header
Block Hash
69caf028a343c01e9f68ea50e372718e1c58186b33f6751d4b2752ab8e785a70

Height

#2,501,128

Difficulty

10.976708

Transactions

3

Size

1.36 KB

Version

2

Bits

0afa0987

Nonce

682,004,390

Timestamp

2/1/2018, 6:09:51 PM

Confirmations

4,289,815

Merkle Root

b21db43977fd2570d05e5dedd7d7ce8c25d320ceaa7408903927a63075eef2c9
Transactions (3)
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.

2.543 × 10⁹⁶(97-digit number)
25435348955156950593…47834925204945891840
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.afc754 formula:

Circulating Supply:57,571,554 XPM·at block #6,790,942 · updates every 60s