What is the 6215th prime number?
The 6215th prime number is 61781. The next prime is 61813 (a gap of 32) and the one before is 61757.
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 6215th one is 61781.
- 2
61781 is prime because no prime up to ā61781 ā 248.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6215th prime is close to 6215 Ć ln(6215) ā 54286, and here it is 61781.
- 4
61781 has no twin: neither 61779 nor 61783 is prime.
Primes around the 6215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6212 | 61729 | 6 |
| 6213 | 61751 | 22 |
| 6214 | 61757 | 6 |
| 6215 | 61781 | 24 |
| 6216 | 61813 | 32 |
| 6217 | 61819 | 6 |
| 6218 | 61837 | 18 |
Questions
What is the 6215th prime number?
61781.
Which prime number is 61781?
61781 is the 6215th prime number.
What is the sum of the first 6215 primes?
181,471,602.