Block #2,284,496

1CCLength 11★★★☆☆

Cunningham Chain of the First Kind · Discovered 9/6/2017, 6:06:03 AM · Difficulty 10.9550 · 4,552,277 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
5e88d3509a4d27e83638aaeb5cef5df1292d6f2fd223ce5db7bdbf68780aef53

Height

#2,284,496

Difficulty

10.955007

Transactions

2

Size

721 B

Version

2

Bits

0af47b58

Nonce

1,258,179,065

Timestamp

9/6/2017, 6:06:03 AM

Confirmations

4,552,277

Merkle Root

bcddf56e9336988faaf0cdcfe56063e5417498aff80d5e726bcb045d27d71a27
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.

2.406 × 10⁹⁵(96-digit number)
24062346188556417050…56206789075290473599
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
2.406 × 10⁹⁵(96-digit number)
24062346188556417050…56206789075290473599
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
4.812 × 10⁹⁵(96-digit number)
48124692377112834100…12413578150580947199
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
9.624 × 10⁹⁵(96-digit number)
96249384754225668200…24827156301161894399
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
1.924 × 10⁹⁶(97-digit number)
19249876950845133640…49654312602323788799
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
3.849 × 10⁹⁶(97-digit number)
38499753901690267280…99308625204647577599
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
7.699 × 10⁹⁶(97-digit number)
76999507803380534560…98617250409295155199
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
1.539 × 10⁹⁷(98-digit number)
15399901560676106912…97234500818590310399
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
3.079 × 10⁹⁷(98-digit number)
30799803121352213824…94469001637180620799
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
6.159 × 10⁹⁷(98-digit number)
61599606242704427648…88938003274361241599
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
10
2^9 × origin − 1
1.231 × 10⁹⁸(99-digit number)
12319921248540885529…77876006548722483199
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
11
2^10 × origin − 1
2.463 × 10⁹⁸(99-digit number)
24639842497081771059…55752013097444966399
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11

Approximately 1 in 1,000 blocks. Noteworthy discoveries.

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:57,938,461 XPM·at block #6,836,772 · 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