What is the 2373rd prime number?
The 2373rd prime number is 21107. The next prime is 21121 (a gap of 14) and the one before is 21101.
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 2373rd one is 21107.
- 2
21107 is prime because no prime up to ā21107 ā 145.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2373rd prime is close to 2373 Ć ln(2373) ā 18443, and here it is 21107.
- 4
21107 has no twin: neither 21105 nor 21109 is prime.
Primes around the 2373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2370 | 21067 | 6 |
| 2371 | 21089 | 22 |
| 2372 | 21101 | 12 |
| 2373 | 21107 | 6 |
| 2374 | 21121 | 14 |
| 2375 | 21139 | 18 |
| 2376 | 21143 | 4 |
Questions
What is the 2373rd prime number?
21107.
Which prime number is 21107?
21107 is the 2373rd prime number.
What is the sum of the first 2373 primes?
23,452,390.