What is the 6102nd prime number?
The 6102nd prime number is 60521. The next prime is 60527 (a gap of 6) and the one before is 60509.
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 6102nd one is 60521.
- 2
60521 is prime because no prime up to ā60521 ā 246.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6102nd prime is close to 6102 Ć ln(6102) ā 53187, and here it is 60521.
- 4
60521 has no twin: neither 60519 nor 60523 is prime.
Primes around the 6102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6099 | 60493 | 36 |
| 6100 | 60497 | 4 |
| 6101 | 60509 | 12 |
| 6102 | 60521 | 12 |
| 6103 | 60527 | 6 |
| 6104 | 60539 | 12 |
| 6105 | 60589 | 50 |
Questions
What is the 6102nd prime number?
60521.
Which prime number is 60521?
60521 is the 6102nd prime number.
What is the sum of the first 6102 primes?
174,559,883.