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Home/Chain Registry/Block #2,061,703

Block #2,061,703

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/8/2017, 4:43:15 AM Β· Difficulty 10.8589 Β· 4,775,535 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
954ab3e54fef342b6573c629569f68c6b6b9cece15d318ec69ffb67a2e4155fe
View on Chainz β†—

Difficulty

10.858947

Transactions

1

Size

199 B

Version

2

Bits

0adbe3fb

Nonce

17,700,273

Timestamp

4/8/2017, 4:43:15 AM

Confirmations

4,775,535

Merkle Root

5526fc7981043dbbcd0b33309486c2ce56e5385ba8f7e9318c8371b9ed9278e0
Transactions (1)
Coinbase5526fc7981043d…8371b9ed9278e0
1 in β†’ 1 out8.4700 XPM110 B
AVT9H46h…dfA8pAh6
Prime Chain Origin

This is the prime chain origin stored in the block header. It is a composite number (not prime itself) β€” it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

1.217 Γ— 10⁹³(94-digit number)
12178647596298810175…32816523954052152320
Discovered Prime Numbers
p_k = 2^k Γ— origin βˆ’ 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 βˆ’ 1
1.217 Γ— 10⁹³(94-digit number)
12178647596298810175…32816523954052152319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.435 Γ— 10⁹³(94-digit number)
24357295192597620351…65633047908104304639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
4.871 Γ— 10⁹³(94-digit number)
48714590385195240702…31266095816208609279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
9.742 Γ— 10⁹³(94-digit number)
97429180770390481404…62532191632417218559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.948 Γ— 10⁹⁴(95-digit number)
19485836154078096280…25064383264834437119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.897 Γ— 10⁹⁴(95-digit number)
38971672308156192561…50128766529668874239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
7.794 Γ— 10⁹⁴(95-digit number)
77943344616312385123…00257533059337748479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.558 Γ— 10⁹⁡(96-digit number)
15588668923262477024…00515066118675496959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.117 Γ— 10⁹⁡(96-digit number)
31177337846524954049…01030132237350993919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
6.235 Γ— 10⁹⁡(96-digit number)
62354675693049908098…02060264474701987839
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 10 consecutive prime numbers forming a Cunningham Chain of the First Kind. The prime chain origin β€” the large number shown above β€” 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 β†’
β˜…β˜…β˜†β˜†β˜†
Rarity
UncommonChain length 10
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 Γ— 3 Γ— 5 Γ— 7 Γ— …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial β€” that divisibility is part of the proof.

Prime Chain Origin = First Prime Γ— Primorial (2Β·3Β·5Β·7Β·11·…)
Source: Primecoin prime.cpp β€” CheckPrimeProofOfWork()

This is why the origin has many small prime factors β€” those factors are the primorial divisor. The chain then extends from the first prime using the 1CC formula:

1CC: p₁ (first prime), pβ‚‚ = 2p₁ + 1, p₃ = 2pβ‚‚ + 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 2061703

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 954ab3e54fef342b6573c629569f68c6b6b9cece15d318ec69ffb67a2e4155fe

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 β†’ Debug Window β†’ 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 #2,061,703 on Chainz β†—
Circulating Supply:57,942,220 XPMΒ·at block #6,837,237 Β· updates every 60s
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