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Block #149,124

1CCLength 9β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 9/4/2013, 4:19:02 AM Β· Difficulty 9.8566 Β· 6,646,726 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
afe22972ca0ea06db8d78df1ce87febe251a4dbf7070f00501c0e10813af733e
View on Chainz β†—

Height

#149,124

Difficulty

9.856552

Transactions

2

Size

355 B

Version

2

Bits

09db46fe

Nonce

495,652

Timestamp

9/4/2013, 4:19:02 AM

Confirmations

6,646,726

Merkle Root

90673758d20b7f26695eb5a23c68cee8e5bb65fc377645702f379af4d5d4f6d4
Transactions (2)
Coinbase494adfd229850b…acfe7570e878df
1 in β†’ 1 out10.2900 XPM109 B
AXsg6WQX…F7XB9PRe
281d359783ff7d…e5813a492e2b72
1 in β†’ 1 out10.3400 XPM158 B
AUazm9Yd…WRQgxMjd
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.

2.748 Γ— 10⁹⁰(91-digit number)
27484427559201911462…32040749869546346880
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
2.748 Γ— 10⁹⁰(91-digit number)
27484427559201911462…32040749869546346879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.496 Γ— 10⁹⁰(91-digit number)
54968855118403822925…64081499739092693759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.099 Γ— 10⁹¹(92-digit number)
10993771023680764585…28162999478185387519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.198 Γ— 10⁹¹(92-digit number)
21987542047361529170…56325998956370775039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.397 Γ— 10⁹¹(92-digit number)
43975084094723058340…12651997912741550079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
8.795 Γ— 10⁹¹(92-digit number)
87950168189446116680…25303995825483100159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.759 Γ— 10⁹²(93-digit number)
17590033637889223336…50607991650966200319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.518 Γ— 10⁹²(93-digit number)
35180067275778446672…01215983301932400639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
7.036 Γ— 10⁹²(93-digit number)
70360134551556893344…02431966603864801279
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 9 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
CommonChain length 9
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 149124

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 afe22972ca0ea06db8d78df1ce87febe251a4dbf7070f00501c0e10813af733e

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 #149,124 on Chainz β†—
Circulating Supply:57,610,885 XPMΒ·at block #6,795,849 Β· updates every 60s
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