Block #2,580,834

1CC0b.2a1d98

Discovered 3/23/2018, 10:55:20 AM · Difficulty 11.0549 · 4,260,319 confirmations

Block Header
Block Hash
236a67480d4c852fcad242b495f5e814a78508fdbaeebca5378ae5e0e533a9c8

Height

#2,580,834

Difficulty

11.054926

Transactions

4

Size

1.09 KB

Version

2

Bits

0b0e0f9c

Nonce

675,525,616

Timestamp

3/23/2018, 10:55:20 AM

Confirmations

4,260,319

Merkle Root

4afe1250b3177e01037ffcdd9820a70ffd4b4f0162b3e1a2753dee897cc4edfb
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.

1.306 × 10⁹⁵(96-digit number)
13065995242451078705…60199259307728269440
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 1CC0b.2a1d98 formula:

Circulating Supply:57,973,587 XPM·at block #6,841,152 · updates every 60s
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