Block #4,064,005

1CC0a.dbd5b2

Discovered 2/3/2021, 3:45:06 PM · Difficulty 10.8042 · 2,753,623 confirmations

Block Header
Block Hash
ae8ceea257684239070156107b3af5339c2462ff66579c2998997e6f1bde4484

Height

#4,064,005

Difficulty

10.804191

Transactions

4

Size

1.37 KB

Version

2

Bits

0acddf74

Nonce

1,354,099,098

Timestamp

2/3/2021, 3:45:06 PM

Confirmations

2,753,623

Merkle Root

bd12e1aafd520a0b55db7ba0a992f7c6824a191f8f01202e8a4a513dc66f6da0
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.

1.933 × 10⁹³(94-digit number)
19338363022075470954…82549479042942828160
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 1CC0a.dbd5b2 formula:

Circulating Supply:57,785,075 XPM·at block #6,817,627 · updates every 60s
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