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Home/Chain Registry/Block #1,293,554

Block #1,293,554

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 10/22/2015, 9:18:31 AM Β· Difficulty 10.8563 Β· 5,522,369 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
6ee3f19ee3ef4bcbc1b5c37ac707ff8d8eb23ccd0060eeea6068dd879fa6c7e0
View on Chainz β†—

Difficulty

10.856346

Transactions

1

Size

200 B

Version

2

Bits

0adb3981

Nonce

481,039,132

Timestamp

10/22/2015, 9:18:31 AM

Confirmations

5,522,369

Merkle Root

e3476f5a05ffe380830560e28aeb298dc02cd9afedb1d7e2aa948e0caf48f427
Transactions (1)
Coinbasee3476f5a05ffe3…948e0caf48f427
1 in β†’ 1 out8.4700 XPM110 B
AQGoCcX8…gQuUgpB8
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.

6.234 Γ— 10⁹⁡(96-digit number)
62340605241633248130…90249969250944015360
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
6.234 Γ— 10⁹⁡(96-digit number)
62340605241633248130…90249969250944015359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.246 Γ— 10⁹⁢(97-digit number)
12468121048326649626…80499938501888030719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.493 Γ— 10⁹⁢(97-digit number)
24936242096653299252…60999877003776061439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
4.987 Γ— 10⁹⁢(97-digit number)
49872484193306598504…21999754007552122879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
9.974 Γ— 10⁹⁢(97-digit number)
99744968386613197008…43999508015104245759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.994 Γ— 10⁹⁷(98-digit number)
19948993677322639401…87999016030208491519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
3.989 Γ— 10⁹⁷(98-digit number)
39897987354645278803…75998032060416983039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
7.979 Γ— 10⁹⁷(98-digit number)
79795974709290557606…51996064120833966079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.595 Γ— 10⁹⁸(99-digit number)
15959194941858111521…03992128241667932159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.191 Γ— 10⁹⁸(99-digit number)
31918389883716223042…07984256483335864319
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 1293554

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 6ee3f19ee3ef4bcbc1b5c37ac707ff8d8eb23ccd0060eeea6068dd879fa6c7e0

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 #1,293,554 on Chainz β†—
Circulating Supply:57,771,495 XPMΒ·at block #6,815,922 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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