Block #3,584,360

TWN0a.ea3e9e

Discovered 3/4/2020, 12:32:50 PM · Difficulty 10.9084 · 3,257,305 confirmations

Block Header
Block Hash
2b49b01d204096234272baf528d97b1871fc150b3ff19cf946cfa9c7ba5ee101

Height

#3,584,360

Difficulty

10.908362

Transactions

5

Size

8.24 KB

Version

2

Bits

0ae88a68

Nonce

106,496,101

Timestamp

3/4/2020, 12:32:50 PM

Confirmations

3,257,305

Merkle Root

81ff2ffb764753a399bbe551aa0994ed2e58181390d97680642bcd924306ea91
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.

3.282 × 10⁹⁷(98-digit number)
32829143025784559607…95615294405283056640
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 TWN0a.ea3e9e formula:

Circulating Supply:57,977,709 XPM·at block #6,841,664 · updates every 60s
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