Block #79,766

1CC09.56e562

Discovered 7/23/2013, 5:24:41 PM · Difficulty 9.2436 · 6,709,993 confirmations

Block Header

Block Hash

02edcbaf8ac7795768b31c7ab12298055a4bd8cd4be08c1edbcb3b2241925390

View on Chainz ↗

Height

#79,766

Difficulty

9.243640

Transactions

Size

543 B

Version

Bits

093e5f34

Nonce

141

Timestamp

7/23/2013, 5:24:41 PM

Confirmations

6,709,993

Merkle Root

eb2b43becd9aab4b50ffe5e688eda21391743cab5eff3252025d3d42352ef0ce

Transactions (2)

Coinbaseba88fa64a6321a…7df4264dcc3398

1 in → 1 out11.7000 XPM110 B

AMW8VrYp…amtovqh3

47134cf68d0059…72a94681b55011

2 in → 1 out157.9900 XPM340 B

AP6mrFkf…AbQY7Uw9

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.

4.068 × 10¹⁰¹(102-digit number)

40680003953329398154…31094808175504081650

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 1CC09.56e562 formula:

Cross-reference on Chainz Explorer