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Block #1,524,587

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/3/2016, 1:03:56 PM Β· Difficulty 10.6009 Β· 5,302,752 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
a28cc6de794b8a8ac89197561b3c041195917c3c6c57797ebbbee1f0c019c44c
View on Chainz β†—

Difficulty

10.600929

Transactions

1

Size

243 B

Version

2

Bits

0a99d681

Nonce

869,578,506

Timestamp

4/3/2016, 1:03:56 PM

Confirmations

5,302,752

Merkle Root

694043d6eab6e320b853184e772032ead446e58483278e94b6b82be4aa40eb97
Transactions (1)
Coinbase694043d6eab6e3…b82be4aa40eb97
1 in β†’ 2 out8.8800 XPM152 B
AdDEyowX…mJpTQ43kALPu3s2c…EJXLjVFh
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.

1.459 Γ— 10⁹⁷(98-digit number)
14595261875825986332…11373121923472752640
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
1.459 Γ— 10⁹⁷(98-digit number)
14595261875825986332…11373121923472752639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.919 Γ— 10⁹⁷(98-digit number)
29190523751651972664…22746243846945505279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
5.838 Γ— 10⁹⁷(98-digit number)
58381047503303945329…45492487693891010559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.167 Γ— 10⁹⁸(99-digit number)
11676209500660789065…90984975387782021119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.335 Γ— 10⁹⁸(99-digit number)
23352419001321578131…81969950775564042239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.670 Γ— 10⁹⁸(99-digit number)
46704838002643156263…63939901551128084479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.340 Γ— 10⁹⁸(99-digit number)
93409676005286312527…27879803102256168959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.868 Γ— 10⁹⁹(100-digit number)
18681935201057262505…55759606204512337919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.736 Γ— 10⁹⁹(100-digit number)
37363870402114525010…11519212409024675839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.472 Γ— 10⁹⁹(100-digit number)
74727740804229050021…23038424818049351679
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 1524587

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 a28cc6de794b8a8ac89197561b3c041195917c3c6c57797ebbbee1f0c019c44c

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 #1,524,587 on Chainz β†—
Circulating Supply:57,862,820 XPMΒ·at block #6,827,338 Β· updates every 60s
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