What is the 3664th prime number?
The 3664th prime number is 34297. The next prime is 34301 (a gap of 4) and the one before is 34283.
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 3664th one is 34297.
- 2
34297 is prime because no prime up to ā34297 ā 185.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3664th prime is close to 3664 Ć ln(3664) ā 30068, and here it is 34297.
- 4
34297 has no twin: neither 34295 nor 34299 is prime.
Primes around the 3664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3661 | 34267 | 6 |
| 3662 | 34273 | 6 |
| 3663 | 34283 | 10 |
| 3664 | 34297 | 14 |
| 3665 | 34301 | 4 |
| 3666 | 34303 | 2 |
| 3667 | 34313 | 10 |
Questions
What is the 3664th prime number?
34297.
Which prime number is 34297?
34297 is the 3664th prime number.
What is the sum of the first 3664 primes?
59,150,379.