What is the 6201st prime number?
The 6201st prime number is 61637. The next prime is 61643 (a gap of 6) and the one before is 61631.
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 6201st one is 61637.
- 2
61637 is prime because no prime up to ā61637 ā 248.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6201st prime is close to 6201 Ć ln(6201) ā 54150, and here it is 61637.
- 4
61637 has no twin: neither 61635 nor 61639 is prime.
Primes around the 6201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6198 | 61613 | 4 |
| 6199 | 61627 | 14 |
| 6200 | 61631 | 4 |
| 6201 | 61637 | 6 |
| 6202 | 61643 | 6 |
| 6203 | 61651 | 8 |
| 6204 | 61657 | 6 |
Questions
What is the 6201st prime number?
61637.
Which prime number is 61637?
61637 is the 6201st prime number.
What is the sum of the first 6201 primes?
180,607,782.