What is the 2374th prime number?
The 2374th prime number is 21121. The next prime is 21139 (a gap of 18) and the one before is 21107.
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 2374th one is 21121.
- 2
21121 is prime because no prime up to ā21121 ā 145.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2374th prime is close to 2374 Ć ln(2374) ā 18452, and here it is 21121.
- 4
21121 has no twin: neither 21119 nor 21123 is prime.
Primes around the 2374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2371 | 21089 | 22 |
| 2372 | 21101 | 12 |
| 2373 | 21107 | 6 |
| 2374 | 21121 | 14 |
| 2375 | 21139 | 18 |
| 2376 | 21143 | 4 |
| 2377 | 21149 | 6 |
Questions
What is the 2374th prime number?
21121.
Which prime number is 21121?
21121 is the 2374th prime number.
What is the sum of the first 2374 primes?
23,473,511.