Block #60,979

1CCLength 9★☆☆☆☆

Cunningham Chain of the First Kind · Discovered 7/18/2013, 10:56:14 AM · Difficulty 8.9714 · 6,764,336 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
196f676db47e00cf88a7bd129fda616c5f3dffac8b4e217b9622449b678086b2

Height

#60,979

Difficulty

8.971373

Transactions

2

Size

425 B

Version

2

Bits

08f8abe2

Nonce

592

Timestamp

7/18/2013, 10:56:14 AM

Confirmations

6,764,336

Merkle Root

2ba28ddfd669260be766549fcfcd969215820820129d677347ea6cad5b8c6521
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.

1.932 × 10⁹²(93-digit number)
19329928995322519686…61325309031040103539
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
1.932 × 10⁹²(93-digit number)
19329928995322519686…61325309031040103539
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
3.865 × 10⁹²(93-digit number)
38659857990645039373…22650618062080207079
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
7.731 × 10⁹²(93-digit number)
77319715981290078747…45301236124160414159
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
1.546 × 10⁹³(94-digit number)
15463943196258015749…90602472248320828319
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
3.092 × 10⁹³(94-digit number)
30927886392516031499…81204944496641656639
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
6.185 × 10⁹³(94-digit number)
61855772785032062998…62409888993283313279
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
1.237 × 10⁹⁴(95-digit number)
12371154557006412599…24819777986566626559
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
2.474 × 10⁹⁴(95-digit number)
24742309114012825199…49639555973133253119
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
4.948 × 10⁹⁴(95-digit number)
49484618228025650398…99279111946266506239
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 9 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 9

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:57,846,624 XPM·at block #6,825,314 · updates every 60s
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