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Home/Chain Registry/Block #119,463

Block #119,463

1CCLength 9β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 8/16/2013, 12:16:12 PM Β· Difficulty 9.7495 Β· 6,705,171 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
b7737744d174cc933a8779e00ac97f425c433f4bf3f963784130f70a48aa75fb
View on Chainz β†—

Height

#119,463

Difficulty

9.749512

Transactions

1

Size

200 B

Version

2

Bits

09bfdffe

Nonce

1,145,996

Timestamp

8/16/2013, 12:16:12 PM

Confirmations

6,705,171

Merkle Root

66006f41ee9045e80b54ecc98483daaf291293a972b58ea343ffc14475ce858c
Transactions (1)
Coinbase66006f41ee9045…ffc14475ce858c
1 in β†’ 1 out10.5000 XPM109 B
ANeM66g4…4LKGyu1v
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.

2.377 Γ— 10⁹⁢(97-digit number)
23771169149429805269…17333400579911561670
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
2.377 Γ— 10⁹⁢(97-digit number)
23771169149429805269…17333400579911561669
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
4.754 Γ— 10⁹⁢(97-digit number)
47542338298859610538…34666801159823123339
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
9.508 Γ— 10⁹⁢(97-digit number)
95084676597719221077…69333602319646246679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.901 Γ— 10⁹⁷(98-digit number)
19016935319543844215…38667204639292493359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
3.803 Γ— 10⁹⁷(98-digit number)
38033870639087688430…77334409278584986719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
7.606 Γ— 10⁹⁷(98-digit number)
76067741278175376861…54668818557169973439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.521 Γ— 10⁹⁸(99-digit number)
15213548255635075372…09337637114339946879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.042 Γ— 10⁹⁸(99-digit number)
30427096511270150744…18675274228679893759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
6.085 Γ— 10⁹⁸(99-digit number)
60854193022540301489…37350548457359787519
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 119463

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 b7737744d174cc933a8779e00ac97f425c433f4bf3f963784130f70a48aa75fb

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 #119,463 on Chainz β†—
Circulating Supply:57,841,136 XPMΒ·at block #6,824,633 Β· updates every 60s
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