Block #113,723

1CC09.f2d320

Discovered 8/12/2013, 5:15:27 PM · Difficulty 9.7346 · 6,681,742 confirmations

Block Header
Block Hash
dae313ebaac4a0411800c76192a9f42454429cdb98955452ef2e34516363bf7f

Height

#113,723

Difficulty

9.734625

Transactions

2

Size

764 B

Version

2

Bits

09bc105b

Nonce

117,859

Timestamp

8/12/2013, 5:15:27 PM

Confirmations

6,681,742

Merkle Root

dfa26a8d3c976fc62b694a7780e76d79b83a765b76526d4e16ef5f10db0994b2
Transactions (2)
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.

1.162 × 10⁹³(94-digit number)
11621302397805518775…68746291592615127800
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 1CC09.f2d320 formula:

Circulating Supply:57,607,779 XPM·at block #6,795,464 · updates every 60s
xpmprime.info is a work in progress. If you enjoy using this service you can support this project with a Primecoin donation.