Block #6,207,033

TWN0a.f78ff9

Discovered 2/28/2025, 5:10:55 PM · Difficulty 10.9656 · 624,245 confirmations

Block Header

Block Hash

72943f2f76877d839cffcd8af5fc8ad9b2b2c78828463843e3155d020310eac8

View on Chainz ↗

Height

#6,207,033

Difficulty

10.965616

Transactions

Size

120.54 KB

Version

536870912

Bits

0af73296

Nonce

750,249,159

Timestamp

2/28/2025, 5:10:55 PM

Confirmations

624,245

Mined by

⛏️ 9^XPM!:AXcB6TC38cshDGWzUsZT3966VrVbFi1TeK

Merkle Root

4b9bf97b32768d923a6e8006a0b65d618d16338f7a1f795dedf4fee43485906b

Transactions (3)

Coinbase8a1aa0fba921f6…b23015b0a6f56d

1 in → 1 out8.1990 XPM101 B

AXcB6TC3…VbFi1TeK

aa602a48c03751…8bad652533f439

160 in → 1 out639.7600 XPM23.08 KB

ANGpsxvL…we1PFXj2

c2c5ce55f22210…f2284279703a76

675 in → 1 out2699.0000 XPM97.27 KB

ANGpsxvL…we1PFXj2

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.

4.205 × 10⁹³(94-digit number)

42051450866672461863…42639033211930159540

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.f78ff9 formula:

Cross-reference on Chainz Explorer

Block #6,207,033

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