Block #60,166

1CCLength 8★☆☆☆☆

Cunningham Chain of the First Kind · Discovered 7/18/2013, 6:30:59 AM · Difficulty 8.9681 · 6,765,978 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
3e9709ac0f5da77f00c5e8f8317bcf12c313b0f5e2c52d3bef731920bff778ca

Height

#60,166

Difficulty

8.968063

Transactions

2

Size

719 B

Version

2

Bits

08f7d2fc

Nonce

127

Timestamp

7/18/2013, 6:30:59 AM

Confirmations

6,765,978

Merkle Root

07e582e312636bd12711c58f56cfa413f07dfecc552d12dd4d1efd47de8bd452
Transactions (2)
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.

2.448 × 10⁸⁷(88-digit number)
24482566504302522286…33729846999216405639
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
2.448 × 10⁸⁷(88-digit number)
24482566504302522286…33729846999216405639
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
4.896 × 10⁸⁷(88-digit number)
48965133008605044572…67459693998432811279
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
9.793 × 10⁸⁷(88-digit number)
97930266017210089144…34919387996865622559
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
1.958 × 10⁸⁸(89-digit number)
19586053203442017828…69838775993731245119
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
3.917 × 10⁸⁸(89-digit number)
39172106406884035657…39677551987462490239
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
7.834 × 10⁸⁸(89-digit number)
78344212813768071315…79355103974924980479
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
1.566 × 10⁸⁹(90-digit number)
15668842562753614263…58710207949849960959
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
3.133 × 10⁸⁹(90-digit number)
31337685125507228526…17420415899699921919
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 8 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
CommonChain length 8

Found in most blocks. The baseline for Primecoin's proof-of-work.

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:57,853,277 XPM·at block #6,826,143 · 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.
Privacy Policy·

Cookie Preferences

We use cookies to enhance your experience. Some are essential for the site to function, while others help us understand how you use the site.

·Privacy Policy