Block #922,276

2CCLength 10★★☆☆☆

Cunningham Chain of the Second Kind · Discovered 2/4/2015, 8:30:49 AM · Difficulty 10.9159 · 5,873,227 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
55466cf138a355ec5d212ded73f0af7741c10bc8ac246c72eb06999a265742c3

Height

#922,276

Difficulty

10.915866

Transactions

5

Size

115.98 KB

Version

2

Bits

0aea762c

Nonce

1,196,479,494

Timestamp

2/4/2015, 8:30:49 AM

Confirmations

5,873,227

Merkle Root

53cb2be9172832929a54182fd5932ea107778d2f9b81d294268d37e81db10853
Transactions (5)
1 in → 1 out9.5800 XPM116 B
200 in → 1 out1194.0364 XPM28.96 KB
200 in → 1 out975.7679 XPM28.93 KB
200 in → 1 out1073.5967 XPM28.94 KB
200 in → 1 out1082.4069 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.

3.642 × 10⁹⁷(98-digit number)
36424051082039743561…82301739222480010241
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
3.642 × 10⁹⁷(98-digit number)
36424051082039743561…82301739222480010241
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
7.284 × 10⁹⁷(98-digit number)
72848102164079487122…64603478444960020481
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
1.456 × 10⁹⁸(99-digit number)
14569620432815897424…29206956889920040961
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
2.913 × 10⁹⁸(99-digit number)
29139240865631794849…58413913779840081921
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
5.827 × 10⁹⁸(99-digit number)
58278481731263589698…16827827559680163841
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
1.165 × 10⁹⁹(100-digit number)
11655696346252717939…33655655119360327681
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
2.331 × 10⁹⁹(100-digit number)
23311392692505435879…67311310238720655361
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
4.662 × 10⁹⁹(100-digit number)
46622785385010871758…34622620477441310721
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
9.324 × 10⁹⁹(100-digit number)
93245570770021743517…69245240954882621441
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
1.864 × 10¹⁰⁰(101-digit number)
18649114154004348703…38490481909765242881
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 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
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 2CC formula:

2CC: p₁ (first prime), p₂ = 2p₁ − 1, p₃ = 2p₂ − 1, …
Circulating Supply:57,608,088 XPM·at block #6,795,502 · 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.