Block #381,564

1CC0a.e6a546

Discovered 1/30/2014, 2:37:02 AM · Difficulty 10.4031 · 6,421,978 confirmations

Block Header
Block Hash
8cd5e99be4890a9e15b737409f84a95f3173eea9a4d03b530a1d5ce23e87d458

Height

#381,564

Difficulty

10.403117

Transactions

8

Size

2.35 KB

Version

2

Bits

0a6732af

Nonce

299,252

Timestamp

1/30/2014, 2:37:02 AM

Confirmations

6,421,978

Merkle Root

52c0d5a81aaeae157961f99e083755b9031e2a74fa9f658355d25ea7aea1fcea
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.

1.935 × 10¹⁰¹(102-digit number)
19353372378060940796…33736565861264542080
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.e6a546 formula:

Circulating Supply:57,672,366 XPM·at block #6,803,541 · updates every 60s
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