Block #3,493,330

TWN0b.91fdd2

Discovered 12/29/2019, 9:57:49 PM · Difficulty 10.9519 · 3,307,307 confirmations

Block Header
Block Hash
79d8c78616558cae02315777fdb49470328d109c02acd4168181c9221db20ffa

Height

#3,493,330

Difficulty

10.951907

Transactions

6

Size

1.89 KB

Version

2

Bits

0af3b031

Nonce

270,557,158

Timestamp

12/29/2019, 9:57:49 PM

Confirmations

3,307,307

Merkle Root

fd160a57296c7bdb982a9aca27c4a32d42b47e485faa05a075b6f6464ffdf118
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.

3.082 × 10⁹⁷(98-digit number)
30829860747565032878…74720827989890007040
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 TWN0b.91fdd2 formula:

Circulating Supply:57,649,161 XPM·at block #6,800,636 · updates every 60s
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