Block #2,188,590

TWN0b.586705

Discovered 7/1/2017, 10:05:09 PM · Difficulty 10.9486 · 4,607,044 confirmations

Block Header
Block Hash
5d27e62a6c4eeae7d8c39604989d4aab144ef7cc4b12dc8d6017fc07b9bb8ac9

Height

#2,188,590

Difficulty

10.948556

Transactions

36

Size

11.28 KB

Version

2

Bits

0af2d48e

Nonce

1,176,896,130

Timestamp

7/1/2017, 10:05:09 PM

Confirmations

4,607,044

Merkle Root

3b806d931b2aa320acdd4ebd5caeb7c242308d6dc5ad9ee38deb76d7b8b6d28a
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.

1.984 × 10⁹⁴(95-digit number)
19845224263466136148…15229339835174773360
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.586705 formula:

Circulating Supply:57,609,141 XPM·at block #6,795,633 · updates every 60s
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