Block #4,033,257

1CC0a.d9efea

Discovered 1/12/2021, 5:32:25 PM · Difficulty 10.8329 · 2,763,597 confirmations

Block Header

Block Hash

f4bd38d24d2344db1e6b4ddcf120a98685ffc02159b697186ee8d7bfc891b907

View on Chainz ↗

Height

#4,033,257

Difficulty

10.832874

Transactions

Size

32.20 KB

Version

Bits

0ad53739

Nonce

304,279,664

Timestamp

1/12/2021, 5:32:25 PM

Confirmations

2,763,597

Mined by

⛏️ P2SHASiq2qtKTzQ7sbERFE8Jp8HjsgVMhmk7yL

Merkle Root

aa1c268f2496add14662ed577a9303f35714e36f48cba5d211cec43ec63b3c65

Transactions (2)

Coinbaseb0551d3709157f…bceb84e8b8e2f4

1 in → 1 out8.8500 XPM110 B

ASiq2qtK…VMhmk7yL

9b127bc4febebb…5623f9128789fc

221 in → 2 out2000.0100 XPM32.01 KB

AJBPMR9f…aUgHXaMr AdPKSgiH…5JKwa8qq

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.

1.847 × 10⁹⁵(96-digit number)

18479534387835514426…00735222602488853120

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.d9efea formula:

Cross-reference on Chainz Explorer