What is the 3659th prime number?
The 3659th prime number is 34259. The next prime is 34261 (a gap of 2) and the one before is 34253.
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 3659th one is 34259.
- 2
34259 is prime because no prime up to ā34259 ā 185.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3659th prime is close to 3659 Ć ln(3659) ā 30022, and here it is 34259.
- 4
34259 is a twin prime: 34259 and 34261 are both prime.
Primes around the 3659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3656 | 34217 | 4 |
| 3657 | 34231 | 14 |
| 3658 | 34253 | 22 |
| 3659 | 34259 | 6 |
| 3660 | 34261 | 2 |
| 3661 | 34267 | 6 |
| 3662 | 34273 | 6 |
Questions
What is the 3659th prime number?
34259.
Which prime number is 34259?
34259 is the 3659th prime number.
What is the sum of the first 3659 primes?
58,978,998.