Block #63,488

TWN09.90b2a4

Discovered 7/19/2013, 1:48:43 AM · Difficulty 8.9793 · 6,727,995 confirmations

Block Header

Block Hash

e8ee9c0a94909d83d6390aacdf27f9a83c38ff3d39175e3fa7c05c395a9baa3d

View on Chainz ↗

Height

#63,488

Difficulty

8.979303

Transactions

Size

88.24 KB

Version

Bits

08fab395

Nonce

580

Timestamp

7/19/2013, 1:48:43 AM

Confirmations

6,727,995

Merkle Root

512f0274a0a919f4fb398a83223fe6c076a8a7009e6363ce97e6ba2f8c5bd053

Transactions (3)

Coinbase02b198b7e9db73…869d11a0385b31

1 in → 1 out13.3000 XPM109 B

APjV1SRq…GdHZBbMn

049d3d740383f2…34b7a9e0930341

4 in → 1 out104.4800 XPM570 B

AYSkdozU…pXos5sWz

96fade54df5d8d…ede52723879be2

785 in → 2 out10000.0137 XPM87.49 KB

AG2oQEbS…sob7GbB7 ARABMtFe…tan66YWt

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.

3.252 × 10⁹⁸(99-digit number)

32521873275028119493…13443619471174042420

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 TWN09.90b2a4 formula:

Cross-reference on Chainz Explorer