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Home/Chain Registry/Block #1,479,072

Block #1,479,072

TWNLength 10β˜…β˜…β˜†β˜†β˜†

Bi-Twin Chain Β· Discovered 3/1/2016, 6:39:54 PM Β· Difficulty 10.7121 Β· 5,364,700 confirmations

TWN
Bi-Twin Chain

Interleaved pairs of primes that differ by 2, forming twin prime pairs at each level.

Block Header
Block Hash
b95da04e80b790742f57ae0d88a81951e8deb15abd16f7313bf971f85a012887
View on Chainz β†—

Difficulty

10.712138

Transactions

1

Size

199 B

Version

2

Bits

0ab64ea9

Nonce

907,243,176

Timestamp

3/1/2016, 6:39:54 PM

Confirmations

5,364,700

Merkle Root

5e9997f17cf5e9508debac6dfdb707e1dea7ee2ca3b932b4b736fde9e7baad5f
Transactions (1)
Coinbase5e9997f17cf5e9…36fde9e7baad5f
1 in β†’ 1 out8.7000 XPM109 B
APN49WDV…4XDdERqu
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.

3.782 Γ— 10⁹⁴(95-digit number)
37820829654062158180…31623769801370744080
Discovered Prime Numbers
Lower: 2^k Γ— origin βˆ’ 1 | Upper: 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.

Level 0 β€” Twin Prime Pair (origin Β± 1)
origin βˆ’ 1
3.782 Γ— 10⁹⁴(95-digit number)
37820829654062158180…31623769801370744079
Verify on FactorDB β†—Wolfram Alpha β†—
origin + 1
3.782 Γ— 10⁹⁴(95-digit number)
37820829654062158180…31623769801370744081
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: origin + 1 βˆ’ origin βˆ’ 1 = 2 (twin primes βœ“)
Level 1 β€” Twin Prime Pair (2^1 Γ— origin Β± 1)
2^1 Γ— origin βˆ’ 1
7.564 Γ— 10⁹⁴(95-digit number)
75641659308124316361…63247539602741488159
Verify on FactorDB β†—Wolfram Alpha β†—
2^1 Γ— origin + 1
7.564 Γ— 10⁹⁴(95-digit number)
75641659308124316361…63247539602741488161
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^1 Γ— origin + 1 βˆ’ 2^1 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 2 β€” Twin Prime Pair (2^2 Γ— origin Β± 1)
2^2 Γ— origin βˆ’ 1
1.512 Γ— 10⁹⁡(96-digit number)
15128331861624863272…26495079205482976319
Verify on FactorDB β†—Wolfram Alpha β†—
2^2 Γ— origin + 1
1.512 Γ— 10⁹⁡(96-digit number)
15128331861624863272…26495079205482976321
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^2 Γ— origin + 1 βˆ’ 2^2 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 3 β€” Twin Prime Pair (2^3 Γ— origin Β± 1)
2^3 Γ— origin βˆ’ 1
3.025 Γ— 10⁹⁡(96-digit number)
30256663723249726544…52990158410965952639
Verify on FactorDB β†—Wolfram Alpha β†—
2^3 Γ— origin + 1
3.025 Γ— 10⁹⁡(96-digit number)
30256663723249726544…52990158410965952641
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^3 Γ— origin + 1 βˆ’ 2^3 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 4 β€” Twin Prime Pair (2^4 Γ— origin Β± 1)
2^4 Γ— origin βˆ’ 1
6.051 Γ— 10⁹⁡(96-digit number)
60513327446499453089…05980316821931905279
Verify on FactorDB β†—Wolfram Alpha β†—
2^4 Γ— origin + 1
6.051 Γ— 10⁹⁡(96-digit number)
60513327446499453089…05980316821931905281
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^4 Γ— origin + 1 βˆ’ 2^4 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)

What this block proved

The miner who found this block proved the existence of 10 consecutive prime numbers forming a Bi-Twin Chain. 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 TWN formula:

TWN: twin pairs (p, p+2) where p = origin/primorial βˆ’ 1 and p+2 = origin/primorial + 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 1479072

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 b95da04e80b790742f57ae0d88a81951e8deb15abd16f7313bf971f85a012887

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 #1,479,072 on Chainz β†—
Circulating Supply:57,994,551 XPMΒ·at block #6,843,771 Β· updates every 60s
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