Block #4,106,041

2CC0b.eb2a2b

Discovered 3/4/2021, 4:50:27 PM · Difficulty 10.8135 · 2,690,275 confirmations

Block Header

Block Hash

fc171792676908769d93075ca1d2b4b8c1641e6601159446fc67802cf18304d1

View on Chainz ↗

Height

#4,106,041

Difficulty

10.813462

Transactions

Size

18.05 KB

Version

Bits

0ad03f12

Nonce

1,679,623,613

Timestamp

3/4/2021, 4:50:27 PM

Confirmations

2,690,275

Mined by

⛏️ P2SHASiq2qtKTzQ7sbERFE8Jp8HjsgVMhmk7yL

Merkle Root

08a672f68d4e189b0d1625277b820769f12de621d86a97840c1c98b49cc5515d

Transactions (4)

Coinbase4e2015b2af447d…9827d17bc666a0

1 in → 1 out8.8300 XPM109 B

ASiq2qtK…VMhmk7yL

5c4c48ba8ac92b…d7b3bc6d8476f8

110 in → 2 out1100.0100 XPM15.97 KB

AUuYse3K…j7A9oKdq AJBPMR9f…aUgHXaMr

97058b95f4a6a6…fae409352a2af2

12 in → 2 out102.5700 XPM1.41 KB

AXU9q2qg…xTeEqYJr ASiq2qtK…VMhmk7yL

4137da6b033584…ed7e4b20ed4afa

3 in → 2 out10.2255 XPM487 B

ASiq2qtK…VMhmk7yL AevxZoN3…fwTLU9Fn

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.

4.492 × 10⁹⁵(96-digit number)

44927170340069614065…49070476278049359520

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.eb2a2b formula:

Cross-reference on Chainz Explorer