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Home/Chain Registry/Block #1,482,215

Block #1,482,215

TWNLength 10β˜…β˜…β˜†β˜†β˜†

Bi-Twin Chain Β· Discovered 3/3/2016, 6:30:58 PM Β· Difficulty 10.7273 Β· 5,361,210 confirmations

TWN
Bi-Twin Chain

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

Block Header
Block Hash
b311bf56f0f6b8b342067a3a15a68d21d69d2fcbf5e805e04dc3a11aa8aace86
View on Chainz β†—

Difficulty

10.727251

Transactions

1

Size

243 B

Version

2

Bits

0aba2d25

Nonce

2,575,600,793

Timestamp

3/3/2016, 6:30:58 PM

Confirmations

5,361,210

Merkle Root

f35498b47f9853e3d7a21f76e65461d7111e01b71b8809304e63e62fdc51664d
Transactions (1)
Coinbasef35498b47f9853…63e62fdc51664d
1 in β†’ 2 out8.6800 XPM152 B
AUTDGowz…xD6FfrbrALPu3s2c…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.

1.094 Γ— 10⁹⁢(97-digit number)
10944842006346225192…53747288641155537920
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
1.094 Γ— 10⁹⁢(97-digit number)
10944842006346225192…53747288641155537919
Verify on FactorDB β†—Wolfram Alpha β†—
origin + 1
1.094 Γ— 10⁹⁢(97-digit number)
10944842006346225192…53747288641155537921
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
2.188 Γ— 10⁹⁢(97-digit number)
21889684012692450384…07494577282311075839
Verify on FactorDB β†—Wolfram Alpha β†—
2^1 Γ— origin + 1
2.188 Γ— 10⁹⁢(97-digit number)
21889684012692450384…07494577282311075841
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
4.377 Γ— 10⁹⁢(97-digit number)
43779368025384900769…14989154564622151679
Verify on FactorDB β†—Wolfram Alpha β†—
2^2 Γ— origin + 1
4.377 Γ— 10⁹⁢(97-digit number)
43779368025384900769…14989154564622151681
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
8.755 Γ— 10⁹⁢(97-digit number)
87558736050769801538…29978309129244303359
Verify on FactorDB β†—Wolfram Alpha β†—
2^3 Γ— origin + 1
8.755 Γ— 10⁹⁢(97-digit number)
87558736050769801538…29978309129244303361
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
1.751 Γ— 10⁹⁷(98-digit number)
17511747210153960307…59956618258488606719
Verify on FactorDB β†—Wolfram Alpha β†—
2^4 Γ— origin + 1
1.751 Γ— 10⁹⁷(98-digit number)
17511747210153960307…59956618258488606721
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 1482215

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 b311bf56f0f6b8b342067a3a15a68d21d69d2fcbf5e805e04dc3a11aa8aace86

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 #1,482,215 on Chainz β†—
Circulating Supply:57,991,769 XPMΒ·at block #6,843,424 Β· updates every 60s
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