Block #1,509,003

TWN0a.d02d6a

Discovered 3/23/2016, 1:44:49 PM · Difficulty 10.6171 · 5,280,967 confirmations

Block Header

Block Hash

e2493f93328929f926668aac417e27b2dd4aec555b56b6afe9836ce98874a79d

View on Chainz ↗

Height

#1,509,003

Difficulty

10.617116

Transactions

Size

574 B

Version

Bits

0a9dfb49

Nonce

75,079

Timestamp

3/23/2016, 1:44:49 PM

Confirmations

5,280,967

Merkle Root

89188f19f603bbd285d290a7e0bbde1f4c3a3e2dcebb75ed9ad8300afe86ceca

Transactions (2)

Coinbasefaa5719c3d7511…275f1c607f10c8

1 in → 1 out8.8700 XPM109 B

AdR3SMVt…2zrhAR7g

0960913feca65a…6313cbdc33fcd4

2 in → 2 out3048.8300 XPM372 B

AP2h3ch1…TLewSQUF AQrtGUAz…D1xuVd95

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.

1.345 × 10¹⁰¹(102-digit number)

13458730102333319181…08746198878477679040

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.d02d6a formula:

Cross-reference on Chainz Explorer