Block #3,244,535

TWN0b.69c2dd

Discovered 6/28/2019, 10:30:08 AM · Difficulty 11.0076 · 3,555,048 confirmations

Block Header
Block Hash
d49a57f4323bacd60a9050521c277269b70e8486fe1d6534adf55075343097e7

Height

#3,244,535

Difficulty

11.007559

Transactions

7

Size

4.62 KB

Version

2

Bits

0b01ef66

Nonce

961,059,654

Timestamp

6/28/2019, 10:30:08 AM

Confirmations

3,555,048

Merkle Root

f85c95344710489b636579270a0e37586a4e45507f67112db5ef7e2565e5e797
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.

3.342 × 10⁹⁴(95-digit number)
33420226572843983708…87136966162351491200
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.69c2dd formula:

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