What is the 3657th prime number?
The 3657th prime number is 34231. The next prime is 34253 (a gap of 22) and the one before is 34217.
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 3657th one is 34231.
- 2
34231 is prime because no prime up to ā34231 ā 185.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3657th prime is close to 3657 Ć ln(3657) ā 30003, and here it is 34231.
- 4
34231 has no twin: neither 34229 nor 34233 is prime.
Primes around the 3657th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3654 | 34211 | 28 |
| 3655 | 34213 | 2 |
| 3656 | 34217 | 4 |
| 3657 | 34231 | 14 |
| 3658 | 34253 | 22 |
| 3659 | 34259 | 6 |
| 3660 | 34261 | 2 |
Questions
What is the 3657th prime number?
34231.
Which prime number is 34231?
34231 is the 3657th prime number.
What is the sum of the first 3657 primes?
58,910,486.