Block #922,264

1CCLength 10★★☆☆☆

Cunningham Chain of the First Kind · Discovered 2/4/2015, 8:14:10 AM · Difficulty 10.9159 · 5,872,610 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
db5e479bc5e3c116b09df398ec9b46eea9441f59121ec4632d8143730a489f08

Height

#922,264

Difficulty

10.915926

Transactions

5

Size

116.00 KB

Version

2

Bits

0aea7a22

Nonce

30,956,960

Timestamp

2/4/2015, 8:14:10 AM

Confirmations

5,872,610

Merkle Root

9e1ebe6a852ddda431f5653afda20c0ce4dedabe463eaec668ec3bd69d2178b3
Transactions (5)
1 in → 1 out9.5800 XPM116 B
200 in → 1 out1123.1561 XPM28.96 KB
200 in → 1 out890.2900 XPM28.95 KB
200 in → 1 out984.4780 XPM28.95 KB
200 in → 1 out923.1122 XPM28.95 KB
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.

1.984 × 10⁹⁵(96-digit number)
19847952001885031402…05784632727572630359
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
1.984 × 10⁹⁵(96-digit number)
19847952001885031402…05784632727572630359
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
3.969 × 10⁹⁵(96-digit number)
39695904003770062804…11569265455145260719
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
7.939 × 10⁹⁵(96-digit number)
79391808007540125609…23138530910290521439
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
1.587 × 10⁹⁶(97-digit number)
15878361601508025121…46277061820581042879
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
3.175 × 10⁹⁶(97-digit number)
31756723203016050243…92554123641162085759
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
6.351 × 10⁹⁶(97-digit number)
63513446406032100487…85108247282324171519
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
1.270 × 10⁹⁷(98-digit number)
12702689281206420097…70216494564648343039
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
2.540 × 10⁹⁷(98-digit number)
25405378562412840194…40432989129296686079
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
5.081 × 10⁹⁷(98-digit number)
50810757124825680389…80865978258593372159
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
10
2^9 × origin − 1
1.016 × 10⁹⁸(99-digit number)
10162151424965136077…61731956517186744319
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:57,603,025 XPM·at block #6,794,873 · 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.