Home/Chain Registry/Block #6,784,908

Block #6,784,908

1CCLength 11★★★☆☆

Cunningham Chain of the First Kind · Discovered 4/5/2026, 10:33:11 PM · Difficulty 10.9809 · 6,726 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
87e249321b69a72f7259d92b9a0fac04199420bdb3472d2658560f257da93437

Difficulty

10.980854

Transactions

1

Size

191 B

Version

536870912

Bits

0afb1938

Nonce

595,257,644

Timestamp

4/5/2026, 10:33:11 PM

Confirmations

6,726

Merkle Root

e277a0fcbe4d0378aee2921aacde565f4bdee62246a984fc57ba9b80722b7d85
Transactions (1)
1 in → 1 out8.1790 XPM101 B
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.

4.138 × 10⁹³(94-digit number)
41380025168862461920…08429956543760718480
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
4.138 × 10⁹³(94-digit number)
41380025168862461920…08429956543760718479
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
8.276 × 10⁹³(94-digit number)
82760050337724923841…16859913087521436959
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
1.655 × 10⁹⁴(95-digit number)
16552010067544984768…33719826175042873919
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
3.310 × 10⁹⁴(95-digit number)
33104020135089969536…67439652350085747839
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
6.620 × 10⁹⁴(95-digit number)
66208040270179939073…34879304700171495679
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
1.324 × 10⁹⁵(96-digit number)
13241608054035987814…69758609400342991359
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
2.648 × 10⁹⁵(96-digit number)
26483216108071975629…39517218800685982719
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
5.296 × 10⁹⁵(96-digit number)
52966432216143951258…79034437601371965439
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
1.059 × 10⁹⁶(97-digit number)
10593286443228790251…58068875202743930879
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
10
2^9 × origin − 1
2.118 × 10⁹⁶(97-digit number)
21186572886457580503…16137750405487861759
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
11
2^10 × origin − 1
4.237 × 10⁹⁶(97-digit number)
42373145772915161006…32275500810975723519
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.

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 1CC formula:

1CC: 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 6784908

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 87e249321b69a72f7259d92b9a0fac04199420bdb3472d2658560f257da93437

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 #6,784,908 on Chainz ↗
Circulating Supply:57,577,022 XPM·at block #6,791,633 · updates every 60s
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