Block #3,526,413

TWN0b.3e504d

Discovered 1/22/2020, 9:23:42 PM · Difficulty 10.9370 · 3,315,233 confirmations

Block Header
Block Hash
0545dfc448fc4aee126a254d626fb148384313130c16ee743cd2b386602a763f

Height

#3,526,413

Difficulty

10.936962

Transactions

2

Size

390 B

Version

2

Bits

0aefdcb6

Nonce

1,060,523,713

Timestamp

1/22/2020, 9:23:42 PM

Confirmations

3,315,233

Merkle Root

6a42761f5531281b0f742e0a3f41fa220bc39159b31db8f003e47f20356fb13e
Transactions (2)
1 in → 1 out8.3600 XPM109 B
1 in → 1 out903.4820 XPM191 B
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.

5.265 × 10⁹³(94-digit number)
52658263412903614507…92267604509302344960
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.3e504d formula:

Circulating Supply:57,977,555 XPM·at block #6,841,645 · updates every 60s
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