Block #3,272,226

TWN0b.11a30a

Discovered 7/18/2019, 7:31:05 PM · Difficulty 10.9954 · 3,524,043 confirmations

Block Header
Block Hash
d988edee49b1fb8d56eee53deac8e308b673872a1d1673697a8d8d3375ae8628

Height

#3,272,226

Difficulty

10.995410

Transactions

14

Size

4.79 KB

Version

2

Bits

0afed335

Nonce

1,791,485,706

Timestamp

7/18/2019, 7:31:05 PM

Confirmations

3,524,043

Merkle Root

5414d0b243d27974b1d8e4496019ab7f06b0737acb32007923214b8b7c7fa116
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.

1.079 × 10⁹⁶(97-digit number)
10792322016084226823…27941736354768121600
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.11a30a formula:

Circulating Supply:57,614,152 XPM·at block #6,796,268 · updates every 60s
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