Block #2,120,442

TWN0a.f7cc4b

Discovered 5/17/2017, 9:32:44 AM · Difficulty 10.9118 · 4,675,460 confirmations

Block Header

Block Hash

5ffb6c4a0d7862bb38780f465e8d3215da81a18ccad52cbc65c7316db44b8c01

View on Chainz ↗

Height

#2,120,442

Difficulty

10.911778

Transactions

Size

242 B

Version

Bits

0ae96a42

Nonce

86,289,397

Timestamp

5/17/2017, 9:32:44 AM

Confirmations

4,675,460

Mined by

⛏️ P2SHAKjaKd2Kxt1buNBYuJDadjFL1cDPsqUE8e

Merkle Root

16bc5a47ba2b62248790fa03927baf0f28a7fb049f8ad042479eec931f65548a

Transactions (1)

Coinbase16bc5a47ba2b62…9eec931f65548a

1 in → 2 out8.3900 XPM152 B

AKjaKd2K…DPsqUE8e AXbk7f7A…Tx7JECPG

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.

2.208 × 10⁹⁵(96-digit number)

22087104332094007667…35123812383726284800

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 TWN0a.f7cc4b formula:

Cross-reference on Chainz Explorer