What is the 6200th prime number?
The 6200th prime number is 61631. The next prime is 61637 (a gap of 6) and the one before is 61627.
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 6200th one is 61631.
- 2
61631 is prime because no prime up to ā61631 ā 248.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6200th prime is close to 6200 Ć ln(6200) ā 54140, and here it is 61631.
- 4
61631 has no twin: neither 61629 nor 61633 is prime.
Primes around the 6200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6197 | 61609 | 6 |
| 6198 | 61613 | 4 |
| 6199 | 61627 | 14 |
| 6200 | 61631 | 4 |
| 6201 | 61637 | 6 |
| 6202 | 61643 | 6 |
| 6203 | 61651 | 8 |
Questions
What is the 6200th prime number?
61631.
Which prime number is 61631?
61631 is the 6200th prime number.
What is the sum of the first 6200 primes?
180,546,145.