Block #3,526,414

TWN0b.e9380a

Discovered 1/22/2020, 9:24:50 PM · Difficulty 10.9369 · 3,312,283 confirmations

Block Header
Block Hash
fd8fce1ad90890da569fb8fe8ffa7b1cbdd2aaa468ea9d63ea78570a2cf746d4

Height

#3,526,414

Difficulty

10.936946

Transactions

7

Size

5.10 KB

Version

2

Bits

0aefdbb0

Nonce

164,778,655

Timestamp

1/22/2020, 9:24:50 PM

Confirmations

3,312,283

Merkle Root

8f2f07a440da2b2af90f2b141ce7f12cc66cc2c3af4a670ffcae051a497ed5b0
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.

1.571 × 10⁹⁴(95-digit number)
15719377820002936495…29575638119119446620
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.e9380a formula:

Circulating Supply:57,953,840 XPM·at block #6,838,696 · updates every 60s
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