XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #1,453,970

Block #1,453,970

TWNLength 10β˜…β˜…β˜†β˜†β˜†

Bi-Twin Chain Β· Discovered 2/13/2016, 4:24:30 AM Β· Difficulty 10.7241 Β· 5,388,143 confirmations

TWN
Bi-Twin Chain

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

Block Header
Block Hash
7dc2908122aaae97ad027e89b37fa8e34ded7534926852e76fe6435ab495771e
View on Chainz β†—

Difficulty

10.724132

Transactions

1

Size

200 B

Version

2

Bits

0ab960bd

Nonce

998,156,609

Timestamp

2/13/2016, 4:24:30 AM

Confirmations

5,388,143

Merkle Root

6dc037a97c4d59c06e1f3c0f1a188bdd6467275062dcd1530d15b61b82948254
Transactions (1)
Coinbase6dc037a97c4d59…15b61b82948254
1 in β†’ 1 out8.6800 XPM110 B
AHoFsspR…rZmueFSf
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.

1.177 Γ— 10⁹⁡(96-digit number)
11773935497810838614…43224780022929293440
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
1.177 Γ— 10⁹⁡(96-digit number)
11773935497810838614…43224780022929293439
Verify on FactorDB β†—Wolfram Alpha β†—
origin + 1
1.177 Γ— 10⁹⁡(96-digit number)
11773935497810838614…43224780022929293441
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
2.354 Γ— 10⁹⁡(96-digit number)
23547870995621677229…86449560045858586879
Verify on FactorDB β†—Wolfram Alpha β†—
2^1 Γ— origin + 1
2.354 Γ— 10⁹⁡(96-digit number)
23547870995621677229…86449560045858586881
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
4.709 Γ— 10⁹⁡(96-digit number)
47095741991243354458…72899120091717173759
Verify on FactorDB β†—Wolfram Alpha β†—
2^2 Γ— origin + 1
4.709 Γ— 10⁹⁡(96-digit number)
47095741991243354458…72899120091717173761
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
9.419 Γ— 10⁹⁡(96-digit number)
94191483982486708916…45798240183434347519
Verify on FactorDB β†—Wolfram Alpha β†—
2^3 Γ— origin + 1
9.419 Γ— 10⁹⁡(96-digit number)
94191483982486708916…45798240183434347521
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
1.883 Γ— 10⁹⁢(97-digit number)
18838296796497341783…91596480366868695039
Verify on FactorDB β†—Wolfram Alpha β†—
2^4 Γ— origin + 1
1.883 Γ— 10⁹⁢(97-digit number)
18838296796497341783…91596480366868695041
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 1453970

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 7dc2908122aaae97ad027e89b37fa8e34ded7534926852e76fe6435ab495771e

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 #1,453,970 on Chainz β†—
Circulating Supply:57,981,292 XPMΒ·at block #6,842,112 Β· updates every 60s
xpmprime.info is a work in progress. If you enjoy using this service you can support this project with a Primecoin donation.
Privacy PolicyΒ·
AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

Cookie Preferences

We use cookies to enhance your experience. Some are essential for the site to function, while others help us understand how you use the site.

Β·Privacy Policy