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Home/Chain Registry/Block #1,437,323

Block #1,437,323

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 1/31/2016, 2:01:04 PM Β· Difficulty 10.7945 Β· 5,404,218 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
95d34818f730ae3b1fdaa1554e0d1b465043b6fc96dd42002fc5015a61f26412
View on Chainz β†—

Difficulty

10.794521

Transactions

1

Size

200 B

Version

2

Bits

0acb65c2

Nonce

1,507,073,238

Timestamp

1/31/2016, 2:01:04 PM

Confirmations

5,404,218

Merkle Root

680c8dfcb0ce9f97b45f987bdb16b058f6ee318443fab4f966d51272e53d1130
Transactions (1)
Coinbase680c8dfcb0ce9f…d51272e53d1130
1 in β†’ 1 out8.5700 XPM109 B
ATwd6Any…MvWMh8GQ
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.

1.166 Γ— 10⁹⁢(97-digit number)
11667780537026987184…92448563032560962560
Discovered Prime Numbers
p_k = 2^k Γ— origin + 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 + 1
1.166 Γ— 10⁹⁢(97-digit number)
11667780537026987184…92448563032560962561
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
2.333 Γ— 10⁹⁢(97-digit number)
23335561074053974369…84897126065121925121
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
4.667 Γ— 10⁹⁢(97-digit number)
46671122148107948738…69794252130243850241
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
9.334 Γ— 10⁹⁢(97-digit number)
93342244296215897477…39588504260487700481
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.866 Γ— 10⁹⁷(98-digit number)
18668448859243179495…79177008520975400961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
3.733 Γ— 10⁹⁷(98-digit number)
37336897718486358991…58354017041950801921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
7.467 Γ— 10⁹⁷(98-digit number)
74673795436972717982…16708034083901603841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.493 Γ— 10⁹⁸(99-digit number)
14934759087394543596…33416068167803207681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
2.986 Γ— 10⁹⁸(99-digit number)
29869518174789087192…66832136335606415361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
5.973 Γ— 10⁹⁸(99-digit number)
59739036349578174385…33664272671212830721
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 Second 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 2CC formula:

2CC: p₁ (first prime), pβ‚‚ = 2p₁ βˆ’ 1, p₃ = 2pβ‚‚ βˆ’ 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 1437323

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 95d34818f730ae3b1fdaa1554e0d1b465043b6fc96dd42002fc5015a61f26412

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 #1,437,323 on Chainz β†—
Circulating Supply:57,976,712 XPMΒ·at block #6,841,540 Β· updates every 60s
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