What is the 3660th prime number?
The 3660th prime number is 34261. The next prime is 34267 (a gap of 6) and the one before is 34259.
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 3660th one is 34261.
- 2
34261 is prime because no prime up to ā34261 ā 185.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3660th prime is close to 3660 Ć ln(3660) ā 30031, and here it is 34261.
- 4
34261 is a twin prime: 34259 and 34261 are both prime.
Primes around the 3660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3657 | 34231 | 14 |
| 3658 | 34253 | 22 |
| 3659 | 34259 | 6 |
| 3660 | 34261 | 2 |
| 3661 | 34267 | 6 |
| 3662 | 34273 | 6 |
| 3663 | 34283 | 10 |
Questions
What is the 3660th prime number?
34261.
Which prime number is 34261?
34261 is the 3660th prime number.
What is the sum of the first 3660 primes?
59,013,259.