Block #4,113,749

TWN0a.ff6a12

Discovered 3/9/2021, 5:46:08 PM · Difficulty 10.8298 · 2,682,266 confirmations

Block Header
Block Hash
99ab0a4248451288ff6782550b3521d8bd19aee41322c1a1b34aef3a2ea5c745

Height

#4,113,749

Difficulty

10.829829

Transactions

7

Size

10.86 KB

Version

2

Bits

0ad46fab

Nonce

1,936,643,448

Timestamp

3/9/2021, 5:46:08 PM

Confirmations

2,682,266

Merkle Root

864b0d4d14f8ada1d9d4cbe08fc2b14cef6cb2b998eb260dba56348374bc1743
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.

5.499 × 10⁹⁵(96-digit number)
54993462710029984258…29158284304971605440
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.ff6a12 formula:

Circulating Supply:57,612,211 XPM·at block #6,796,014 · updates every 60s
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