Block #49,174

2CC09.77a8b1

Discovered 7/15/2013, 6:58:21 PM · Difficulty 8.8600 · 6,745,758 confirmations

Block Header

Block Hash

35c0ac32ac1098b87941325c2e1c19e0a078304b11fb54b3621a1da79c64dfe3

View on Chainz ↗

Height

#49,174

Difficulty

8.860039

Transactions

Size

1.64 KB

Version

Bits

08dc2b89

Nonce

501

Timestamp

7/15/2013, 6:58:21 PM

Confirmations

6,745,758

Mined by

⛏️ P2SHAZnmaDcdy6JJJGWmBM2Zs2K4a7YMjm4btN

Merkle Root

b44d3b1525c0dabb348f2f6adbcd08207ce79d6dbe11a03ed9afa7e21e527f19

Transactions (3)

Coinbasea113c2dbea0920…7abc75aa9e8881

1 in → 1 out12.7500 XPM110 B

AZnmaDcd…YMjm4btN

67a0cdb2c9595a…74d3548d4acd1a

10 in → 1 out200.0000 XPM1.29 KB

ASZGZ7X1…ecUFjTry

73133c3fc26c8b…b45804bbff214f

1 in → 1 out13.1500 XPM157 B

AUcDG2XT…ezYwWTaB

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.

3.349 × 10¹⁰³(104-digit number)

33497796362191289567…66168153610334726900

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 2CC09.77a8b1 formula:

Cross-reference on Chainz Explorer