Block #922,423

2CCLength 10★★☆☆☆

Cunningham Chain of the Second Kind · Discovered 2/4/2015, 11:24:13 AM · Difficulty 10.9154 · 5,890,320 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
baebccef8866b97b5c5d1f7f0c15bb0b5b478749464ebe7ed8fa2ae94bacf1fd

Height

#922,423

Difficulty

10.915419

Transactions

6

Size

116.39 KB

Version

2

Bits

0aea58ea

Nonce

1,457,997,796

Timestamp

2/4/2015, 11:24:13 AM

Confirmations

5,890,320

Merkle Root

091da04216eac4aa90163ffcd9d5b8f7746e05ce2069ce877031783cce8123e6
Transactions (6)
1 in → 1 out9.5900 XPM116 B
200 in → 1 out1077.9184 XPM28.97 KB
200 in → 1 out975.8956 XPM28.95 KB
200 in → 1 out1124.2906 XPM28.95 KB
200 in → 1 out1074.0891 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.

1.737 × 10⁹⁶(97-digit number)
17372401193640291046…50312942116792908801
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
1.737 × 10⁹⁶(97-digit number)
17372401193640291046…50312942116792908801
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
3.474 × 10⁹⁶(97-digit number)
34744802387280582092…00625884233585817601
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
6.948 × 10⁹⁶(97-digit number)
69489604774561164185…01251768467171635201
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
1.389 × 10⁹⁷(98-digit number)
13897920954912232837…02503536934343270401
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
2.779 × 10⁹⁷(98-digit number)
27795841909824465674…05007073868686540801
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
5.559 × 10⁹⁷(98-digit number)
55591683819648931348…10014147737373081601
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
1.111 × 10⁹⁸(99-digit number)
11118336763929786269…20028295474746163201
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
2.223 × 10⁹⁸(99-digit number)
22236673527859572539…40056590949492326401
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
4.447 × 10⁹⁸(99-digit number)
44473347055719145078…80113181898984652801
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
8.894 × 10⁹⁸(99-digit number)
88946694111438290157…60226363797969305601
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:57,745,987 XPM·at block #6,812,742 · updates every 60s
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