Block #35,954

1CC08.f8805f

Discovered 7/14/2013, 8:47:39 AM · Difficulty 7.9949 · 6,755,036 confirmations

Block Header

Block Hash

abd4040e78285a7657d32c1f2d40fcdee33f01e661942d3a1e6b9d1c0f90c03a

View on Chainz ↗

Height

#35,954

Difficulty

7.994932

Transactions

Size

356 B

Version

Bits

07feb3d8

Nonce

396

Timestamp

7/14/2013, 8:47:39 AM

Confirmations

6,755,036

Merkle Root

3e4484660e0f56c6a7f06b95422f2c8ec0134d017aad6088897f27fa9e609f22

Transactions (2)

Coinbasedae0f427ca3dfb…14f33eeca0d706

1 in → 1 out15.6300 XPM109 B

AZbzUBCP…64MEUPUz

0a019a9f8c3460…26bf8faf69f64c

1 in → 1 out15.6300 XPM158 B

AG43TCYA…UW1AUz7e

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.

1.139 × 10⁹³(94-digit number)

11393796645369610218…57465985433115878400

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 1CC08.f8805f formula:

Cross-reference on Chainz Explorer