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Home/Chain Registry/Block #1,506,310

Block #1,506,310

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 3/21/2016, 1:07:26 PM Β· Difficulty 10.6338 Β· 5,337,408 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
79e63c4b9c271a8d6f66970d57adbba335ddf64197c2d0e499086f09a1ff5fde
View on Chainz β†—

Difficulty

10.633752

Transactions

1

Size

200 B

Version

2

Bits

0aa23d90

Nonce

28,720,751

Timestamp

3/21/2016, 1:07:26 PM

Confirmations

5,337,408

Merkle Root

faa610eeb85a9ff2446545a3c1b07b4fadfe51c51fdd89af17c1ee6004c9f229
Transactions (1)
Coinbasefaa610eeb85a9f…c1ee6004c9f229
1 in β†’ 1 out8.8300 XPM110 B
AUs2tj7i…iFZ2knTi
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.

8.574 Γ— 10⁹³(94-digit number)
85748646383751246462…91170183663861895520
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
8.574 Γ— 10⁹³(94-digit number)
85748646383751246462…91170183663861895519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.714 Γ— 10⁹⁴(95-digit number)
17149729276750249292…82340367327723791039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.429 Γ— 10⁹⁴(95-digit number)
34299458553500498585…64680734655447582079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
6.859 Γ— 10⁹⁴(95-digit number)
68598917107000997170…29361469310895164159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.371 Γ— 10⁹⁡(96-digit number)
13719783421400199434…58722938621790328319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.743 Γ— 10⁹⁡(96-digit number)
27439566842800398868…17445877243580656639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.487 Γ— 10⁹⁡(96-digit number)
54879133685600797736…34891754487161313279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.097 Γ— 10⁹⁢(97-digit number)
10975826737120159547…69783508974322626559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.195 Γ— 10⁹⁢(97-digit number)
21951653474240319094…39567017948645253119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.390 Γ— 10⁹⁢(97-digit number)
43903306948480638188…79134035897290506239
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 1506310

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 79e63c4b9c271a8d6f66970d57adbba335ddf64197c2d0e499086f09a1ff5fde

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 #1,506,310 on Chainz β†—
Circulating Supply:57,994,116 XPMΒ·at block #6,843,717 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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