What is the 2375th prime number?
The 2375th prime number is 21139. The next prime is 21143 (a gap of 4) and the one before is 21121.
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 2375th one is 21139.
- 2
21139 is prime because no prime up to ā21139 ā 145.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2375th prime is close to 2375 Ć ln(2375) ā 18460, and here it is 21139.
- 4
21139 has no twin: neither 21137 nor 21141 is prime.
Primes around the 2375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2372 | 21101 | 12 |
| 2373 | 21107 | 6 |
| 2374 | 21121 | 14 |
| 2375 | 21139 | 18 |
| 2376 | 21143 | 4 |
| 2377 | 21149 | 6 |
| 2378 | 21157 | 8 |
Questions
What is the 2375th prime number?
21139.
Which prime number is 21139?
21139 is the 2375th prime number.
What is the sum of the first 2375 primes?
23,494,650.