Block #2,857,101

2CC0b.cf35d1

Discovered 9/27/2018, 12:17:53 PM · Difficulty 11.6887 · 3,939,576 confirmations

Block Header

Block Hash

491a1f6c14e7b08e05d6be6b71bfba8b6531abb2950916dc6fb56a743d1ceced

View on Chainz ↗

Height

#2,857,101

Difficulty

11.688699

Transactions

Size

6.06 KB

Version

Bits

0bb04e91

Nonce

681,080,257

Timestamp

9/27/2018, 12:17:53 PM

Confirmations

3,939,576

Mined by

⛏️ P2SHARmGnYpo2eNjQRckQdxJNQrhqiGyW7bmig

Merkle Root

4e66a8a2d016d6de87611ef847d4572325a2a2a545c01aa4042854a4b0468c34

Transactions (2)

Coinbase2a4c15d33855fd…fb9776f570fbd5

1 in → 1 out7.4600 XPM110 B

ARmGnYpo…GyW7bmig

33e8f48227fffa…6e367d49f76e32

40 in → 2 out25998.8982 XPM5.86 KB

ARCJMqFQ…7SCUKCQH AMysPDPX…EKo1Fnbu

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.

1.138 × 10⁹²(93-digit number)

11384086741783076085…40457901376099797920

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 2CC0b.cf35d1 formula:

Cross-reference on Chainz Explorer