Block #3,286,022

TWN0b.a49875

Discovered 7/29/2019, 3:29:46 AM · Difficulty 10.9948 · 3,513,561 confirmations

Block Header
Block Hash
96e2708b3e1d092aff2f9aa31f2052594cefa0aea5daaee169800523704caee2

Height

#3,286,022

Difficulty

10.994758

Transactions

16

Size

3.37 KB

Version

2

Bits

0afea87a

Nonce

1,516,626,423

Timestamp

7/29/2019, 3:29:46 AM

Confirmations

3,513,561

Merkle Root

5ce6f41b18aaed4870c228aab9d942f0734d911b0ff103d227a0ca073420cbc9
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.

1.509 × 10⁹⁸(99-digit number)
15094763328841962189…70993550275424092160
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 TWN0b.a49875 formula:

Circulating Supply:57,640,714 XPM·at block #6,799,582 · updates every 60s
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