Block #3,311,070

TWN0b.8e66fe

Discovered 8/14/2019, 6:26:12 PM · Difficulty 11.0399 · 3,489,923 confirmations

Block Header
Block Hash
433f9f62b50bf8b717fa280831590810a16c1f030b83419d0762ecb0277c1791

Height

#3,311,070

Difficulty

11.039893

Transactions

5

Size

2.25 KB

Version

2

Bits

0b0a3674

Nonce

1,432,882,471

Timestamp

8/14/2019, 6:26:12 PM

Confirmations

3,489,923

Merkle Root

c7e7cc5b69f1208de788c02f2b46a9eaa4a9cd98e2cd202312ca9b14607604c7
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.

1.790 × 10⁹⁵(96-digit number)
17903072452464709894…91114487891075500160
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.8e66fe formula:

Circulating Supply:57,652,004 XPM·at block #6,800,992 · updates every 60s
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