Block #49,880

TWN08.e7f8c9

Discovered 7/15/2013, 10:38:26 PM · Difficulty 8.8729 · 6,741,103 confirmations

Block Header

Block Hash

15880009421f9ddc147a0c25cfec6df07c6dff4cab0f4d58c1a377476bbc7b82

View on Chainz ↗

Height

#49,880

Difficulty

8.872883

Transactions

Size

1.11 KB

Version

Bits

08df7541

Nonce

356

Timestamp

7/15/2013, 10:38:26 PM

Confirmations

6,741,103

Merkle Root

c530af33805c1dcd9839f81835d2609a3fffaed4d46f4852fd76e22299008e5d

Transactions (2)

Coinbasef7a9ce57980957…3e848025f89d87

1 in → 1 out12.6950 XPM110 B

AMei2yqm…VtDkGXbk

a20f607d8fc417…87030e3cd93b93

6 in → 1 out160.9800 XPM933 B

AJ5JDkMB…S91bdMiR

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.

2.819 × 10¹⁰⁸(109-digit number)

28192914135558466048…15752620630082383400

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 TWN08.e7f8c9 formula:

Cross-reference on Chainz Explorer