What is the 2371st prime number?
The 2371st prime number is 21089. The next prime is 21101 (a gap of 12) and the one before is 21067.
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 2371st one is 21089.
- 2
21089 is prime because no prime up to ā21089 ā 145.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2371st prime is close to 2371 Ć ln(2371) ā 18425, and here it is 21089.
- 4
21089 has no twin: neither 21087 nor 21091 is prime.
Primes around the 2371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2368 | 21059 | 28 |
| 2369 | 21061 | 2 |
| 2370 | 21067 | 6 |
| 2371 | 21089 | 22 |
| 2372 | 21101 | 12 |
| 2373 | 21107 | 6 |
| 2374 | 21121 | 14 |
Questions
What is the 2371st prime number?
21089.
Which prime number is 21089?
21089 is the 2371st prime number.
What is the sum of the first 2371 primes?
23,410,182.