XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #60,541

Block #60,541

1CCLength 8β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 7/18/2013, 8:30:33 AM Β· Difficulty 8.9696 Β· 6,739,224 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
e6b261a7300f0c611a0cafc4b6979c2026e254557d26d113f2fee14fa6c2483f
View on Chainz β†—

Height

#60,541

Difficulty

8.969644

Transactions

1

Size

199 B

Version

2

Bits

08f83a99

Nonce

42

Timestamp

7/18/2013, 8:30:33 AM

Confirmations

6,739,224

Merkle Root

4b6c02e7e75fdcf7f958bfde1bd414e3687c1485da6b4b42b284a4a912c3058d
Transactions (1)
Coinbase4b6c02e7e75fdc…84a4a912c3058d
1 in β†’ 1 out12.4100 XPM110 B
AGxj4Xhh…WfhKvDrw
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.

1.065 Γ— 10⁹²(93-digit number)
10652425598752384503…25473333558996969400
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
1.065 Γ— 10⁹²(93-digit number)
10652425598752384503…25473333558996969399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.130 Γ— 10⁹²(93-digit number)
21304851197504769007…50946667117993938799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
4.260 Γ— 10⁹²(93-digit number)
42609702395009538014…01893334235987877599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
8.521 Γ— 10⁹²(93-digit number)
85219404790019076028…03786668471975755199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.704 Γ— 10⁹³(94-digit number)
17043880958003815205…07573336943951510399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.408 Γ— 10⁹³(94-digit number)
34087761916007630411…15146673887903020799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
6.817 Γ— 10⁹³(94-digit number)
68175523832015260822…30293347775806041599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.363 Γ— 10⁹⁴(95-digit number)
13635104766403052164…60586695551612083199
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 8 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
CommonChain length 8
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 60541

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 e6b261a7300f0c611a0cafc4b6979c2026e254557d26d113f2fee14fa6c2483f

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 #60,541 on Chainz β†—
Circulating Supply:57,642,176 XPMΒ·at block #6,799,764 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.
AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK