What is the 2376th prime number?
The 2376th prime number is 21143. The next prime is 21149 (a gap of 6) and the one before is 21139.
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 2376th one is 21143.
- 2
21143 is prime because no prime up to ā21143 ā 145.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2376th prime is close to 2376 Ć ln(2376) ā 18469, and here it is 21143.
- 4
21143 has no twin: neither 21141 nor 21145 is prime.
Primes around the 2376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2373 | 21107 | 6 |
| 2374 | 21121 | 14 |
| 2375 | 21139 | 18 |
| 2376 | 21143 | 4 |
| 2377 | 21149 | 6 |
| 2378 | 21157 | 8 |
| 2379 | 21163 | 6 |
Questions
What is the 2376th prime number?
21143.
Which prime number is 21143?
21143 is the 2376th prime number.
What is the sum of the first 2376 primes?
23,515,793.