What is the 2126th prime number?
The 2126th prime number is 18583. The next prime is 18587 (a gap of 4) and the one before is 18553.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2126th one is 18583.
- 2
18583 is prime because no prime up to ā18583 ā 136.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2126th prime is close to 2126 Ć ln(2126) ā 16289, and here it is 18583.
- 4
18583 has no twin: neither 18581 nor 18585 is prime.
Primes around the 2126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2123 | 18539 | 16 |
| 2124 | 18541 | 2 |
| 2125 | 18553 | 12 |
| 2126 | 18583 | 30 |
| 2127 | 18587 | 4 |
| 2128 | 18593 | 6 |
| 2129 | 18617 | 24 |
Questions
What is the 2126th prime number?
18583.
Which prime number is 18583?
18583 is the 2126th prime number.
What is the sum of the first 2126 primes?
18,541,243.