What is the 6105th prime number?
The 6105th prime number is 60589. The next prime is 60601 (a gap of 12) and the one before is 60539.
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 6105th one is 60589.
- 2
60589 is prime because no prime up to ā60589 ā 246.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6105th prime is close to 6105 Ć ln(6105) ā 53216, and here it is 60589.
- 4
60589 has no twin: neither 60587 nor 60591 is prime.
Primes around the 6105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6102 | 60521 | 12 |
| 6103 | 60527 | 6 |
| 6104 | 60539 | 12 |
| 6105 | 60589 | 50 |
| 6106 | 60601 | 12 |
| 6107 | 60607 | 6 |
| 6108 | 60611 | 4 |
Questions
What is the 6105th prime number?
60589.
Which prime number is 60589?
60589 is the 6105th prime number.
What is the sum of the first 6105 primes?
174,741,538.