Block #808,055

1CCLength 11★★★☆☆

Cunningham Chain of the First Kind · Discovered 11/12/2014, 2:32:17 PM · Difficulty 10.9737 · 5,990,972 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
2a096f4a9db7f20a2d368e253a21d7cbf5ca2abf68976bafe2b0bc98ab958b63

Height

#808,055

Difficulty

10.973662

Transactions

3

Size

2.81 KB

Version

2

Bits

0af941ea

Nonce

2,293,581,235

Timestamp

11/12/2014, 2:32:17 PM

Confirmations

5,990,972

Merkle Root

e4b07cb044b66ca2c752e26299c3a2a6bb8fb33068e2c9ade4e7fbea22bf1d75
Transactions (3)
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.

3.492 × 10⁹⁷(98-digit number)
34925967256537637915…73710327321849013759
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
3.492 × 10⁹⁷(98-digit number)
34925967256537637915…73710327321849013759
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
6.985 × 10⁹⁷(98-digit number)
69851934513075275831…47420654643698027519
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
1.397 × 10⁹⁸(99-digit number)
13970386902615055166…94841309287396055039
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
2.794 × 10⁹⁸(99-digit number)
27940773805230110332…89682618574792110079
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
5.588 × 10⁹⁸(99-digit number)
55881547610460220664…79365237149584220159
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
1.117 × 10⁹⁹(100-digit number)
11176309522092044132…58730474299168440319
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
2.235 × 10⁹⁹(100-digit number)
22352619044184088265…17460948598336880639
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
4.470 × 10⁹⁹(100-digit number)
44705238088368176531…34921897196673761279
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
8.941 × 10⁹⁹(100-digit number)
89410476176736353063…69843794393347522559
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
10
2^9 × origin − 1
1.788 × 10¹⁰⁰(101-digit number)
17882095235347270612…39687588786695045119
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
11
2^10 × origin − 1
3.576 × 10¹⁰⁰(101-digit number)
35764190470694541225…79375177573390090239
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 First 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 1CC formula:

1CC: p₁ (first prime), p₂ = 2p₁ + 1, p₃ = 2p₂ + 1, …
Circulating Supply:57,636,254 XPM·at block #6,799,026 · updates every 60s
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