Block #94,864

1CCLength 9★☆☆☆☆

Cunningham Chain of the First Kind · Discovered 8/3/2013, 8:50:43 AM · Difficulty 9.2099 · 6,722,955 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
7356eecc5bc19db5f7d6f499bd380f7cb11694b10a07934045ca68e8b009a273

Height

#94,864

Difficulty

9.209879

Transactions

4

Size

827 B

Version

2

Bits

0935baa0

Nonce

177,943

Timestamp

8/3/2013, 8:50:43 AM

Confirmations

6,722,955

Merkle Root

61f2a1eb53dcf235dd9f7638a14fe4a330322af950774fae9d7c15617619be36
Transactions (4)
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.

2.473 × 10¹⁰⁸(109-digit number)
24734458727045068580…41883057326125916159
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
2.473 × 10¹⁰⁸(109-digit number)
24734458727045068580…41883057326125916159
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
4.946 × 10¹⁰⁸(109-digit number)
49468917454090137161…83766114652251832319
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
9.893 × 10¹⁰⁸(109-digit number)
98937834908180274322…67532229304503664639
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
1.978 × 10¹⁰⁹(110-digit number)
19787566981636054864…35064458609007329279
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
3.957 × 10¹⁰⁹(110-digit number)
39575133963272109728…70128917218014658559
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
7.915 × 10¹⁰⁹(110-digit number)
79150267926544219457…40257834436029317119
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
1.583 × 10¹¹⁰(111-digit number)
15830053585308843891…80515668872058634239
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
3.166 × 10¹¹⁰(111-digit number)
31660107170617687783…61031337744117268479
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
6.332 × 10¹¹⁰(111-digit number)
63320214341235375566…22062675488234536959
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:57,786,615 XPM·at block #6,817,818 · 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