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Home/Chain Registry/Block #1,506,308

Block #1,506,308

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 3/21/2016, 1:03:43 PM Β· Difficulty 10.6339 Β· 5,338,436 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
a687624dcb29f9f2a3aa1aa5798982b15e0048939b01642990e8aea9578cd9f7
View on Chainz β†—

Difficulty

10.633893

Transactions

1

Size

200 B

Version

2

Bits

0aa246d7

Nonce

1,700,072,805

Timestamp

3/21/2016, 1:03:43 PM

Confirmations

5,338,436

Merkle Root

a50a92a122bff749288cc971e2197120342d6e302970ddfe56bddda4ef466b77
Transactions (1)
Coinbasea50a92a122bff7…bddda4ef466b77
1 in β†’ 1 out8.8300 XPM110 B
AYTUfb7V…hkQzVSr5
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.

2.241 Γ— 10⁹³(94-digit number)
22411503695223591762…39584377401953456000
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
2.241 Γ— 10⁹³(94-digit number)
22411503695223591762…39584377401953455999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
4.482 Γ— 10⁹³(94-digit number)
44823007390447183525…79168754803906911999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
8.964 Γ— 10⁹³(94-digit number)
89646014780894367051…58337509607813823999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.792 Γ— 10⁹⁴(95-digit number)
17929202956178873410…16675019215627647999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
3.585 Γ— 10⁹⁴(95-digit number)
35858405912357746820…33350038431255295999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
7.171 Γ— 10⁹⁴(95-digit number)
71716811824715493641…66700076862510591999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.434 Γ— 10⁹⁡(96-digit number)
14343362364943098728…33400153725021183999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.868 Γ— 10⁹⁡(96-digit number)
28686724729886197456…66800307450042367999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
5.737 Γ— 10⁹⁡(96-digit number)
57373449459772394913…33600614900084735999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.147 Γ— 10⁹⁢(97-digit number)
11474689891954478982…67201229800169471999
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 1506308

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 a687624dcb29f9f2a3aa1aa5798982b15e0048939b01642990e8aea9578cd9f7

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 #1,506,308 on Chainz β†—
Circulating Supply:58,002,365 XPMΒ·at block #6,844,743 Β· updates every 60s
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