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Home/Chain Registry/Block #49,623

Block #49,623

1CCLength 9β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 7/15/2013, 9:20:17 PM Β· Difficulty 8.8683 Β· 6,760,314 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
c1ff60383fc715968156684adeeeeb4284d6da8e4854ead7acd1dc18b62f2881
View on Chainz β†—

Height

#49,623

Difficulty

8.868280

Transactions

1

Size

201 B

Version

2

Bits

08de4795

Nonce

117

Timestamp

7/15/2013, 9:20:17 PM

Confirmations

6,760,314

Merkle Root

3b36025592439d627361b5472d15cd4031d7c74993b168eedb85e7c4ab5976b0
Transactions (1)
Coinbase3b36025592439d…85e7c4ab5976b0
1 in β†’ 1 out12.7000 XPM110 B
AYrtgdMx…SnFDNzsA
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.

2.023 Γ— 10⁹⁸(99-digit number)
20234418673756571862…21654453249534713900
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
2.023 Γ— 10⁹⁸(99-digit number)
20234418673756571862…21654453249534713899
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
4.046 Γ— 10⁹⁸(99-digit number)
40468837347513143725…43308906499069427799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
8.093 Γ— 10⁹⁸(99-digit number)
80937674695026287451…86617812998138855599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.618 Γ— 10⁹⁹(100-digit number)
16187534939005257490…73235625996277711199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
3.237 Γ— 10⁹⁹(100-digit number)
32375069878010514980…46471251992555422399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
6.475 Γ— 10⁹⁹(100-digit number)
64750139756021029961…92942503985110844799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.295 Γ— 10¹⁰⁰(101-digit number)
12950027951204205992…85885007970221689599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.590 Γ— 10¹⁰⁰(101-digit number)
25900055902408411984…71770015940443379199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
5.180 Γ— 10¹⁰⁰(101-digit number)
51800111804816823969…43540031880886758399
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 49623

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 c1ff60383fc715968156684adeeeeb4284d6da8e4854ead7acd1dc18b62f2881

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 #49,623 on Chainz β†—
Circulating Supply:57,723,584 XPMΒ·at block #6,809,936 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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