XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #2,924,850

Block #2,924,850

TWNLength 11β˜…β˜…β˜…β˜†β˜†

Bi-Twin Chain Β· Discovered 11/16/2018, 2:49:37 AM Β· Difficulty 11.3575 Β· 3,916,850 confirmations

TWN
Bi-Twin Chain

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

Block Header
Block Hash
83308218ed96459144f8360b23e495a4f110def29e93606297f823ddda241e75
View on Chainz β†—

Difficulty

11.357535

Transactions

11

Size

72.89 KB

Version

2

Bits

0b5b8763

Nonce

1,127,176,051

Timestamp

11/16/2018, 2:49:37 AM

Confirmations

3,916,850

Merkle Root

640cdba60bed512d8dd62499992a14cbcbb942c86f326393323bee79e286fc32
Transactions (11)
Coinbase4797ae96fa9f05…47de2c3e90f055
1 in β†’ 1 out8.5400 XPM110 B
AbXwmGxD…4XXYP765
0e4974d1dfab00…3b4ddf6625ac95
50 in β†’ 1 out209.9378 XPM7.27 KB
AYpegem1…6VXJYptQ
5687a04f6e25de…52693342e3c049
50 in β†’ 1 out213.2422 XPM7.27 KB
AYpegem1…6VXJYptQ
6135563b324f88…a11eaa6832add0
50 in β†’ 1 out230.7036 XPM7.28 KB
AYpegem1…6VXJYptQ
8e860f0d7fa4f9…32f57ca54fee2b
50 in β†’ 1 out229.0376 XPM7.26 KB
AYpegem1…6VXJYptQ
3552b59513baa3…a40ea7cb11a1a7
50 in β†’ 1 out216.2131 XPM7.26 KB
AYpegem1…6VXJYptQ
3cd43312cba0a9…917bbfcd2057e7
50 in β†’ 1 out214.2278 XPM7.27 KB
AYpegem1…6VXJYptQ
086c42453f42c3…bb9f6d32d9e2dc
50 in β†’ 1 out222.1403 XPM7.27 KB
AYpegem1…6VXJYptQ
0f0da75cc50cee…ef73039d144acc
50 in β†’ 1 out236.7397 XPM7.27 KB
AYpegem1…6VXJYptQ
88ac11ea0ad255…2830ef4d64f66d
50 in β†’ 1 out222.6095 XPM7.27 KB
AYpegem1…6VXJYptQ
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.

2.639 Γ— 10⁹⁷(98-digit number)
26396730628783064844…76343094478527733760
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
2.639 Γ— 10⁹⁷(98-digit number)
26396730628783064844…76343094478527733759
Verify on FactorDB β†—Wolfram Alpha β†—
origin + 1
2.639 Γ— 10⁹⁷(98-digit number)
26396730628783064844…76343094478527733761
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
5.279 Γ— 10⁹⁷(98-digit number)
52793461257566129688…52686188957055467519
Verify on FactorDB β†—Wolfram Alpha β†—
2^1 Γ— origin + 1
5.279 Γ— 10⁹⁷(98-digit number)
52793461257566129688…52686188957055467521
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
1.055 Γ— 10⁹⁸(99-digit number)
10558692251513225937…05372377914110935039
Verify on FactorDB β†—Wolfram Alpha β†—
2^2 Γ— origin + 1
1.055 Γ— 10⁹⁸(99-digit number)
10558692251513225937…05372377914110935041
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
2.111 Γ— 10⁹⁸(99-digit number)
21117384503026451875…10744755828221870079
Verify on FactorDB β†—Wolfram Alpha β†—
2^3 Γ— origin + 1
2.111 Γ— 10⁹⁸(99-digit number)
21117384503026451875…10744755828221870081
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
4.223 Γ— 10⁹⁸(99-digit number)
42234769006052903751…21489511656443740159
Verify on FactorDB β†—Wolfram Alpha β†—
2^4 Γ— origin + 1
4.223 Γ— 10⁹⁸(99-digit number)
42234769006052903751…21489511656443740161
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^4 Γ— origin + 1 βˆ’ 2^4 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 5 β€” Twin Prime Pair (2^5 Γ— origin Β± 1)
2^5 Γ— origin βˆ’ 1
8.446 Γ— 10⁹⁸(99-digit number)
84469538012105807502…42979023312887480319
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11
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 2924850

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 83308218ed96459144f8360b23e495a4f110def29e93606297f823ddda241e75

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 #2,924,850 on Chainz β†—
Circulating Supply:57,977,979 XPMΒ·at block #6,841,699 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