What is the 6204th prime number?
The 6204th prime number is 61657. The next prime is 61667 (a gap of 10) and the one before is 61651.
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 6204th one is 61657.
- 2
61657 is prime because no prime up to ā61657 ā 248.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6204th prime is close to 6204 Ć ln(6204) ā 54179, and here it is 61657.
- 4
61657 has no twin: neither 61655 nor 61659 is prime.
Primes around the 6204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6201 | 61637 | 6 |
| 6202 | 61643 | 6 |
| 6203 | 61651 | 8 |
| 6204 | 61657 | 6 |
| 6205 | 61667 | 10 |
| 6206 | 61673 | 6 |
| 6207 | 61681 | 8 |
Questions
What is the 6204th prime number?
61657.
Which prime number is 61657?
61657 is the 6204th prime number.
What is the sum of the first 6204 primes?
180,792,733.