Block #1,563,227

2CCLength 10★★☆☆☆

Cunningham Chain of the Second Kind · Discovered 4/28/2016, 10:03:32 PM · Difficulty 10.7385 · 5,254,545 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
efe174b3099581b4373da6f65fd9dc49c6095660b258125bab20a9fee541e500

Height

#1,563,227

Difficulty

10.738511

Transactions

2

Size

901 B

Version

2

Bits

0abd0f07

Nonce

1,486,299,070

Timestamp

4/28/2016, 10:03:32 PM

Confirmations

5,254,545

Merkle Root

09c4ca8165274ea47895811c6a417a8e5dedf5e7cb913d2cba491f7a8435b0a7
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.

5.180 × 10⁹²(93-digit number)
51800175321072912081…38195418160562755521
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
5.180 × 10⁹²(93-digit number)
51800175321072912081…38195418160562755521
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
1.036 × 10⁹³(94-digit number)
10360035064214582416…76390836321125511041
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
2.072 × 10⁹³(94-digit number)
20720070128429164832…52781672642251022081
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
4.144 × 10⁹³(94-digit number)
41440140256858329665…05563345284502044161
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
8.288 × 10⁹³(94-digit number)
82880280513716659330…11126690569004088321
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
1.657 × 10⁹⁴(95-digit number)
16576056102743331866…22253381138008176641
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
3.315 × 10⁹⁴(95-digit number)
33152112205486663732…44506762276016353281
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
6.630 × 10⁹⁴(95-digit number)
66304224410973327464…89013524552032706561
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
1.326 × 10⁹⁵(96-digit number)
13260844882194665492…78027049104065413121
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
2.652 × 10⁹⁵(96-digit number)
26521689764389330985…56054098208130826241
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 10 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
UncommonChain length 10

Roughly 1 in 100 blocks. Solid but expected in a healthy network.

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:57,786,233 XPM·at block #6,817,771 · 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