Home/Chain Registry/Block #794,656

Block #794,656

2CCLength 11★★★☆☆

Cunningham Chain of the Second Kind · Discovered 11/3/2014, 1:23:38 AM · Difficulty 10.9750 · 6,001,143 confirmations

2CC

Cunningham Chain of the Second Kind

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

Block Header

Block Hash

d3d0b17ddddf4c7613b5ea1b56a853e2680d8b51105c63bde14e53f44f9951cf

View on Chainz ↗

Height

#794,656

Difficulty

10.975009

Transactions

Size

1.44 KB

Version

Bits

0af99a35

Nonce

882,123,698

Timestamp

11/3/2014, 1:23:38 AM

Confirmations

6,001,143

Merkle Root

002ce8da7a78ed67ad7dae16814ae706551d4565e42b29088860f8309aa96f5c

Transactions (4)

Coinbase84d124a01d681d…fb351199df4707

1 in → 1 out8.3200 XPM109 B

AXJuMLuM…gYrmCiGp

1b7dc143612698…c1528c7fedbed5

2 in → 2 out11.3420 XPM375 B

AUY54LT9…Q8pWMHVG ANPF3upy…3Lvtcqd9

474d6b6d76acdd…f7c334da8c46e6

4 in → 2 out10.4146 XPM671 B

ARpojXAd…oUV2wrHP AWAbb2pL…4Wmht5QK

6f72938412fa9f…2098cfe22b828b

1 in → 2 out3.1553 XPM226 B

AcC16E8t…cRLpCZKB AGdWVjRk…LFVsqCnK

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.

2.061 × 10⁹⁵(96-digit number)

20619639700510358665…87315632757512133120

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.

origin + 1

2.061 × 10⁹⁵(96-digit number)

20619639700510358665…87315632757512133121

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^1 × origin + 1

4.123 × 10⁹⁵(96-digit number)

41239279401020717330…74631265515024266241

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^2 × origin + 1

8.247 × 10⁹⁵(96-digit number)

82478558802041434661…49262531030048532481

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^3 × origin + 1

1.649 × 10⁹⁶(97-digit number)

16495711760408286932…98525062060097064961

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^4 × origin + 1

3.299 × 10⁹⁶(97-digit number)

32991423520816573864…97050124120194129921

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^5 × origin + 1

6.598 × 10⁹⁶(97-digit number)

65982847041633147729…94100248240388259841

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^6 × origin + 1

1.319 × 10⁹⁷(98-digit number)

13196569408326629545…88200496480776519681

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^7 × origin + 1

2.639 × 10⁹⁷(98-digit number)

26393138816653259091…76400992961553039361

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^8 × origin + 1

5.278 × 10⁹⁷(98-digit number)

52786277633306518183…52801985923106078721

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^9 × origin + 1

1.055 × 10⁹⁸(99-digit number)

10557255526661303636…05603971846212157441

Verify on FactorDB ↗Wolfram Alpha ↗

×2−1 →

2^10 × origin + 1

2.111 × 10⁹⁸(99-digit number)

21114511053322607273…11207943692424314881

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 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.

View full Prime Chain Discovery page →

★★★☆☆

Rarity

RareChain length 11

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, …

Verify on a Primecoin Node

Anyone running a Primecoin node can independently verify this block using the following RPC commands. Run these from the primecoin-cli command line or via the debug console in the Primecoin wallet.

1. Get block hash by height

getblockhash 794656

Returns the block hash for a given block height. Use this to confirm the hash shown above matches the chain.

2. Get full block data

getblock d3d0b17ddddf4c7613b5ea1b56a853e2680d8b51105c63bde14e53f44f9951cf

Returns the full block header including difficulty, prime chain origin, prime chain type, transaction IDs, and all other fields shown on this page.

How to run these commands: To verify this data independently, open a terminal on your own Primecoin node and run primecoin-cli <command>. Alternatively, open the Primecoin-Qt wallet, go to Help → Debug Window → Console, and type the command directly. The node must be fully synced to this block height for the commands to return results.

Cross-reference on Chainz Explorer

Chainz is an independent Primecoin block explorer. Compare this block's data to verify accuracy.

View Block #794,656 on Chainz ↗