Block #2,533,245

TWN0c.ec30c7

Discovered 2/22/2018, 10:06:07 AM · Difficulty 10.9861 · 4,262,219 confirmations

Block Header

Block Hash

86a84724403157445e709c02215d9fb0acb17d3966cece50ec68a1867078e8ce

View on Chainz ↗

Height

#2,533,245

Difficulty

10.986141

Transactions

Size

5.34 KB

Version

Bits

0afc73be

Nonce

1,025,208,187

Timestamp

2/22/2018, 10:06:07 AM

Confirmations

4,262,219

Mined by

⛏️ P2SHAHPoarGkNH1UzGGyyojTBLQcWuC9K7ZbiV

Merkle Root

1b822d0abfd216a6ca908262e0952b3249a65f5f275a5ef7c59c2e8c4055717e

Transactions (2)

Coinbase4ac9cb1f8af35c…81c18454f001ab

1 in → 1 out8.3300 XPM109 B

AHPoarGk…C9K7ZbiV

552671c925ec91…8f238e38db3188

35 in → 2 out120.2485 XPM5.14 KB

AQXJDD6c…s3HptNXV ANQExKSc…mxbT7kXn

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.

8.650 × 10⁹⁶(97-digit number)

86505757032481249442…02233140673064960000

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 TWN0c.ec30c7 formula:

Cross-reference on Chainz Explorer