What is the 2377th prime number?
The 2377th prime number is 21149. The next prime is 21157 (a gap of 8) and the one before is 21143.
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 2377th one is 21149.
- 2
21149 is prime because no prime up to ā21149 ā 145.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2377th prime is close to 2377 Ć ln(2377) ā 18478, and here it is 21149.
- 4
21149 has no twin: neither 21147 nor 21151 is prime.
Primes around the 2377th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2374 | 21121 | 14 |
| 2375 | 21139 | 18 |
| 2376 | 21143 | 4 |
| 2377 | 21149 | 6 |
| 2378 | 21157 | 8 |
| 2379 | 21163 | 6 |
| 2380 | 21169 | 6 |
Questions
What is the 2377th prime number?
21149.
Which prime number is 21149?
21149 is the 2377th prime number.
What is the sum of the first 2377 primes?
23,536,942.