Block #960,224

1CCLength 10★★☆☆☆

Cunningham Chain of the First Kind · Discovered 3/3/2015, 7:06:40 PM · Difficulty 10.8870 · 5,835,489 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
e09fe4f8945c603e5053b724b8f1f569648214e846364a5aeabeb736d144b8a2

Height

#960,224

Difficulty

10.887042

Transactions

5

Size

1.66 KB

Version

2

Bits

0ae31535

Nonce

268,255,023

Timestamp

3/3/2015, 7:06:40 PM

Confirmations

5,835,489

Merkle Root

d6131d355052158ac4e30b6b59c84c2eb2d240f14f75a00301ba51aa1212845e
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.

4.550 × 10⁹⁶(97-digit number)
45502554708733061430…52312283410935864319
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
4.550 × 10⁹⁶(97-digit number)
45502554708733061430…52312283410935864319
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
9.100 × 10⁹⁶(97-digit number)
91005109417466122861…04624566821871728639
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
1.820 × 10⁹⁷(98-digit number)
18201021883493224572…09249133643743457279
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
3.640 × 10⁹⁷(98-digit number)
36402043766986449144…18498267287486914559
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
7.280 × 10⁹⁷(98-digit number)
72804087533972898289…36996534574973829119
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
1.456 × 10⁹⁸(99-digit number)
14560817506794579657…73993069149947658239
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
2.912 × 10⁹⁸(99-digit number)
29121635013589159315…47986138299895316479
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
5.824 × 10⁹⁸(99-digit number)
58243270027178318631…95972276599790632959
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
1.164 × 10⁹⁹(100-digit number)
11648654005435663726…91944553199581265919
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
10
2^9 × origin − 1
2.329 × 10⁹⁹(100-digit number)
23297308010871327452…83889106399162531839
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 10 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
UncommonChain length 10

Roughly 1 in 100 blocks. Solid but expected in a healthy network.

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:57,609,777 XPM·at block #6,795,712 · updates every 60s
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