Block #6,784,928

2CCLength 11★★★☆☆

Cunningham Chain of the Second Kind · Discovered 4/5/2026, 10:53:22 PM · Difficulty 10.9809 · 226 confirmations

2CC
Cunningham Chain of the Second Kind

A sequence where each prime is double the previous prime minus one.

Block Header
Block Hash
3941027277880b51ec46f54b4cc3ac8dba0e70d86b1712647905c6b126293362

Height

#6,784,928

Difficulty

10.980857

Transactions

2

Size

858 B

Version

536870912

Bits

0afb1972

Nonce

1,094,845,333

Timestamp

4/5/2026, 10:53:22 PM

Confirmations

226

Merkle Root

7bca4f6e71a829ce128a8f35ee28cf83ad92f4fbba8775e89bae87a587325a3f
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.

2.360 × 10⁹⁶(97-digit number)
23607267710660647684…04564923246395842561
Discovered Prime Numbers
p_k = 2^k × origin + 1

These are the actual prime numbers discovered by this block, computed using the verified Primecoin formula. Each number has been independently confirmed to pass the Fermat primality test. Use the FactorDB links to verify any number independently.

1
origin + 1
2.360 × 10⁹⁶(97-digit number)
23607267710660647684…04564923246395842561
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
4.721 × 10⁹⁶(97-digit number)
47214535421321295369…09129846492791685121
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
9.442 × 10⁹⁶(97-digit number)
94429070842642590739…18259692985583370241
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
1.888 × 10⁹⁷(98-digit number)
18885814168528518147…36519385971166740481
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
3.777 × 10⁹⁷(98-digit number)
37771628337057036295…73038771942333480961
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
7.554 × 10⁹⁷(98-digit number)
75543256674114072591…46077543884666961921
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
1.510 × 10⁹⁸(99-digit number)
15108651334822814518…92155087769333923841
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
3.021 × 10⁹⁸(99-digit number)
30217302669645629036…84310175538667847681
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
6.043 × 10⁹⁸(99-digit number)
60434605339291258073…68620351077335695361
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
1.208 × 10⁹⁹(100-digit number)
12086921067858251614…37240702154671390721
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
11
2^10 × origin + 1
2.417 × 10⁹⁹(100-digit number)
24173842135716503229…74481404309342781441
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 11 consecutive prime numbers forming a Cunningham Chain of the Second Kind. The prime chain origin — the large number shown above — anchors the chain and is divisible by a primorial (the product of small primes), cryptographically tying these prime numbers to this specific block.

★★★☆☆
Rarity
RareChain length 11

Approximately 1 in 1,000 blocks. Noteworthy discoveries.

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 2CC formula:

2CC: p₁ (first prime), p₂ = 2p₁ − 1, p₃ = 2p₂ − 1, …
Circulating Supply:57,525,164 XPM·at block #6,785,153 · updates every 60s