What is the 2372nd prime number?
The 2372nd prime number is 21101. The next prime is 21107 (a gap of 6) and the one before is 21089.
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 2372nd one is 21101.
- 2
21101 is prime because no prime up to ā21101 ā 145.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2372nd prime is close to 2372 Ć ln(2372) ā 18434, and here it is 21101.
- 4
21101 has no twin: neither 21099 nor 21103 is prime.
Primes around the 2372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2369 | 21061 | 2 |
| 2370 | 21067 | 6 |
| 2371 | 21089 | 22 |
| 2372 | 21101 | 12 |
| 2373 | 21107 | 6 |
| 2374 | 21121 | 14 |
| 2375 | 21139 | 18 |
Questions
What is the 2372nd prime number?
21101.
Which prime number is 21101?
21101 is the 2372nd prime number.
What is the sum of the first 2372 primes?
23,431,283.