Block #922,356

2CCLength 11★★★☆☆

Cunningham Chain of the Second Kind · Discovered 2/4/2015, 10:08:47 AM · Difficulty 10.9155 · 5,887,904 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
9404975ea764595c6482976b129dd2610db7ebff32178c1f222e158144834ce0

Height

#922,356

Difficulty

10.915548

Transactions

5

Size

116.00 KB

Version

2

Bits

0aea6156

Nonce

893,608,349

Timestamp

2/4/2015, 10:08:47 AM

Confirmations

5,887,904

Merkle Root

3d8f05e8ed1bc15dd96153ac36aae65453e4a570f926fea84954530443ba6b14
Transactions (5)
1 in → 1 out9.5800 XPM116 B
200 in → 1 out1028.7069 XPM28.96 KB
200 in → 1 out1004.1021 XPM28.95 KB
200 in → 1 out998.1598 XPM28.95 KB
200 in → 1 out956.4324 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.

1.500 × 10⁹⁵(96-digit number)
15009256629003281619…13295140703288988001
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
1.500 × 10⁹⁵(96-digit number)
15009256629003281619…13295140703288988001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
3.001 × 10⁹⁵(96-digit number)
30018513258006563238…26590281406577976001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
6.003 × 10⁹⁵(96-digit number)
60037026516013126476…53180562813155952001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
1.200 × 10⁹⁶(97-digit number)
12007405303202625295…06361125626311904001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
2.401 × 10⁹⁶(97-digit number)
24014810606405250590…12722251252623808001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
4.802 × 10⁹⁶(97-digit number)
48029621212810501180…25444502505247616001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
9.605 × 10⁹⁶(97-digit number)
96059242425621002361…50889005010495232001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
1.921 × 10⁹⁷(98-digit number)
19211848485124200472…01778010020990464001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
3.842 × 10⁹⁷(98-digit number)
38423696970248400944…03556020041980928001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
7.684 × 10⁹⁷(98-digit number)
76847393940496801889…07112040083961856001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
11
2^10 × origin + 1
1.536 × 10⁹⁸(99-digit number)
15369478788099360377…14224080167923712001
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:57,726,154 XPM·at block #6,810,259 · updates every 60s
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