Block #4,104,197

1CC0a.f4ec69

Discovered 3/3/2021, 12:19:40 PM · Difficulty 10.8084 · 2,687,784 confirmations

Block Header

Block Hash

2c999dca96d0e96b76b9d929a1905244b32593a267b7d399942fd8d41309de1e

View on Chainz ↗

Height

#4,104,197

Difficulty

10.808379

Transactions

Size

36.18 KB

Version

Bits

0acef1ee

Nonce

1,650,742,399

Timestamp

3/3/2021, 12:19:40 PM

Confirmations

2,687,784

Merkle Root

317663f12fc2ea0396ccf3ce8ab80b98e47098bbe992429eeb4725d79c0d46b6

Transactions (2)

Coinbase0459e1558042ad…1a2b3fca4fde96

1 in → 1 out8.9400 XPM109 B

AXfJqzUb…HXeXmjMz

cb5e88524d7dc8…5961d7272f0626

249 in → 2 out10000.0100 XPM35.98 KB

AJBPMR9f…aUgHXaMr AL1ZQDYS…KCTfYo1Q

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.

6.835 × 10⁹⁶(97-digit number)

68353829832012430998…86570716626279301120

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 1CC0a.f4ec69 formula:

Cross-reference on Chainz Explorer