Block #1,346,349

TWN0a.e4483a

Discovered 11/28/2015, 8:19:03 PM · Difficulty 10.8218 · 5,444,921 confirmations

Block Header

Block Hash

585b3d99ebbb425c8dcf1563541ad0044c5d9fec7ca288d62c02a1fbd98f3951

View on Chainz ↗

Height

#1,346,349

Difficulty

10.821809

Transactions

Size

1.00 KB

Version

Bits

0ad26216

Nonce

354,441,027

Timestamp

11/28/2015, 8:19:03 PM

Confirmations

5,444,921

Merkle Root

7ed5f7f4d19890895297acc692b04773cd1ba41131758479ccf4a44caff40f5e

Transactions (4)

Coinbase2ed18da49f404b…f2e0e39adea937

1 in → 1 out8.5600 XPM110 B

APR8pbcR…226ZTV8b

215bcafe6a0a31…1869068dc8c1f1

1 in → 2 out8.4400 XPM226 B

AejjJyNY…3GgcMAa5 AcuM7XiJ…5uND8Jce

f74ccf6212cc1b…603310fe2f94d1

2 in → 2 out14.8978 XPM373 B

ARimMb7D…XoPFez1o AJRwGPSP…QDRWdi2B

ef65fc624c69bd…3d09f9ab6d50ef

1 in → 2 out1.0785 XPM225 B

AUGX5jkk…dhhw2o8p ASb3steg…29Ya1XjB

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.

9.031 × 10⁹⁴(95-digit number)

90313429987878912302…87721267485093888000

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.e4483a formula:

Cross-reference on Chainz Explorer