What is the 6202nd prime number?
The 6202nd prime number is 61643. The next prime is 61651 (a gap of 8) and the one before is 61637.
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 6202nd one is 61643.
- 2
61643 is prime because no prime up to ā61643 ā 248.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6202nd prime is close to 6202 Ć ln(6202) ā 54160, and here it is 61643.
- 4
61643 has no twin: neither 61641 nor 61645 is prime.
Primes around the 6202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6199 | 61627 | 14 |
| 6200 | 61631 | 4 |
| 6201 | 61637 | 6 |
| 6202 | 61643 | 6 |
| 6203 | 61651 | 8 |
| 6204 | 61657 | 6 |
| 6205 | 61667 | 10 |
Questions
What is the 6202nd prime number?
61643.
Which prime number is 61643?
61643 is the 6202nd prime number.
What is the sum of the first 6202 primes?
180,669,425.