Block #2,617,285

TWN0b.ad1149

Discovered 4/17/2018, 1:15:30 AM · Difficulty 11.2311 · 4,178,169 confirmations

Block Header

Block Hash

9c844877aea47b89c5cd35604f3c2a4b61ea054059604e3ad5f59d1dd2fda84f

View on Chainz ↗

Height

#2,617,285

Difficulty

11.231069

Transactions

Size

95.52 KB

Version

Bits

0b3b275e

Nonce

545,868,740

Timestamp

4/17/2018, 1:15:30 AM

Confirmations

4,178,169

Mined by

⛏️ P2SHAdqah8zh3AxeLUnA13CQCRpLQc1WwoHJ9t

Merkle Root

c5483cb43526861384f45a94448fd51b277d79c8b7f90ca30506bf34ea7746ca

Transactions (2)

Coinbasee59cae424e4821…44c5fd3bc9ca08

1 in → 1 out8.8900 XPM110 B

Adqah8zh…1WwoHJ9t

8ce46b1773ee4b…5852da1661cac7

659 in → 2 out700.0100 XPM95.33 KB

ALPF8J52…Hjw4BMsG AaGn4Rkp…FfHYP1Wf

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.

9.191 × 10⁹⁸(99-digit number)

91919652925201699932…71342279516652830720

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.ad1149 formula:

Cross-reference on Chainz Explorer