What is the 3658th prime number?
The 3658th prime number is 34253. The next prime is 34259 (a gap of 6) and the one before is 34231.
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 3658th one is 34253.
- 2
34253 is prime because no prime up to ā34253 ā 185.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3658th prime is close to 3658 Ć ln(3658) ā 30013, and here it is 34253.
- 4
34253 has no twin: neither 34251 nor 34255 is prime.
Primes around the 3658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3655 | 34213 | 2 |
| 3656 | 34217 | 4 |
| 3657 | 34231 | 14 |
| 3658 | 34253 | 22 |
| 3659 | 34259 | 6 |
| 3660 | 34261 | 2 |
| 3661 | 34267 | 6 |
Questions
What is the 3658th prime number?
34253.
Which prime number is 34253?
34253 is the 3658th prime number.
What is the sum of the first 3658 primes?
58,944,739.