Block #3,579,761

TWN0a.ea4b56

Discovered 3/1/2020, 5:51:29 AM · Difficulty 10.9105 · 3,262,130 confirmations

Block Header
Block Hash
1d68775d16d398705257b652fd2750d42edf1ae6b90e46f97ecfb9b934deb304

Height

#3,579,761

Difficulty

10.910455

Transactions

5

Size

8.36 KB

Version

2

Bits

0ae9139b

Nonce

17,347,793

Timestamp

3/1/2020, 5:51:29 AM

Confirmations

3,262,130

Merkle Root

192bb12fb740e9547c9fbd629ae253ad0702b6a7a7f94d0f1bfc1ef068e0a82d
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.

2.409 × 10⁹⁷(98-digit number)
24090972615634613302…36431129551599042560
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.ea4b56 formula:

Circulating Supply:57,979,503 XPM·at block #6,841,890 · 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.
Privacy Policy·

Cookie Preferences

We use cookies to enhance your experience. Some are essential for the site to function, while others help us understand how you use the site.

·Privacy Policy