Block #2,174,179

TWN0a.ffaea4

Discovered 6/23/2017, 6:58:10 PM · Difficulty 10.9114 · 4,617,989 confirmations

Block Header

Block Hash

fa89bd3d0e3d69d1db0132cee49195ccb0128b0a50da249389fa5c678e44fda8

View on Chainz ↗

Height

#2,174,179

Difficulty

10.911390

Transactions

Size

1.66 KB

Version

Bits

0ae950dd

Nonce

182,487,787

Timestamp

6/23/2017, 6:58:10 PM

Confirmations

4,617,989

Merkle Root

d6db716c4504852b738f4bd68deae3004dbeed8578f1d78c815d970b6a036f2d

Transactions (4)

Coinbasee9b14da9586ff6…02f594ecaa1d7c

1 in → 1 out8.4300 XPM110 B

ALxD4BpH…SVvmYCRp

96f5262e11b88b…615baa76c639c3

1 in → 2 out8.3900 XPM192 B

AVEfhJ1b…G1HPVjLz AabBLMkv…66MHyghN

5d1b472a7941fb…22da453277915f

1 in → 2 out8.3900 XPM192 B

AP2GxFDi…MZQBdSYt AY6qRkZ8…fxhK5gHk

0af9b68329329e…fe2533f14631ee

7 in → 2 out8.3300 XPM1.09 KB

AcvpPj3n…KGG4eqmR AVohzkuG…s5PN1EEw

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.

4.247 × 10⁹⁴(95-digit number)

42471965342104557235…33949236514539574640

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.ffaea4 formula:

Cross-reference on Chainz Explorer