Block #60,101

2CCLength 8★☆☆☆☆

Cunningham Chain of the Second Kind · Discovered 7/18/2013, 6:08:22 AM · Difficulty 8.9678 · 6,748,033 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
a01adc338c84872709968121703a35794b1b66752c9ddddada78cc89bb09cded

Height

#60,101

Difficulty

8.967820

Transactions

2

Size

428 B

Version

2

Bits

08f7c315

Nonce

1,349

Timestamp

7/18/2013, 6:08:22 AM

Confirmations

6,748,033

Merkle Root

cf1afee6b952363c84d5b344fc49f880e1193e24c057cefbe4db3afe54d1a1ca
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.

1.348 × 10¹⁰²(103-digit number)
13487390611875618650…00743513940258762481
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
1.348 × 10¹⁰²(103-digit number)
13487390611875618650…00743513940258762481
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
2.697 × 10¹⁰²(103-digit number)
26974781223751237300…01487027880517524961
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
5.394 × 10¹⁰²(103-digit number)
53949562447502474601…02974055761035049921
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
1.078 × 10¹⁰³(104-digit number)
10789912489500494920…05948111522070099841
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
2.157 × 10¹⁰³(104-digit number)
21579824979000989840…11896223044140199681
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
4.315 × 10¹⁰³(104-digit number)
43159649958001979681…23792446088280399361
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
8.631 × 10¹⁰³(104-digit number)
86319299916003959362…47584892176560798721
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
1.726 × 10¹⁰⁴(105-digit number)
17263859983200791872…95169784353121597441
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 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
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 2CC formula:

2CC: p₁ (first prime), p₂ = 2p₁ − 1, p₃ = 2p₂ − 1, …
Circulating Supply:57,709,114 XPM·at block #6,808,133 · 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.

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