Block #79,143

TWN09.c45de0

Discovered 7/23/2013, 7:30:41 AM · Difficulty 9.2392 · 6,713,023 confirmations

Block Header

Block Hash

63fc68d7074a82e4870409edf2dd3fad376b9365725c273ff2201594d2a9acd0

View on Chainz ↗

Height

#79,143

Difficulty

9.239224

Transactions

Size

1.26 KB

Version

Bits

093d3dcb

Nonce

519

Timestamp

7/23/2013, 7:30:41 AM

Confirmations

6,713,023

Merkle Root

deefad0e7246dfcbd9c811de7159b4009f54b8566085b3b0f77d4b15562cb761

Transactions (2)

Coinbasee9e968290da1df…212fd288c69768

1 in → 1 out11.7200 XPM110 B

AKHUFbUA…4FKmswTe

542aa7255478a5…b4d12d067c6233

8 in → 2 out581.0800 XPM1.07 KB

AQWAM6Ty…5nsd7SYU ARsrDwcp…Fv5SKr8Y

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.

6.738 × 10⁹⁶(97-digit number)

67383936114908303633…98993276286067125440

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 TWN09.c45de0 formula:

Cross-reference on Chainz Explorer