What is the 6145th prime number?
The 6145th prime number is 60961. The next prime is 61001 (a gap of 40) and the one before is 60953.
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 6145th one is 60961.
- 2
60961 is prime because no prime up to ā60961 ā 246.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6145th prime is close to 6145 Ć ln(6145) ā 53605, and here it is 60961.
- 4
60961 has no twin: neither 60959 nor 60963 is prime.
Primes around the 6145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6142 | 60937 | 14 |
| 6143 | 60943 | 6 |
| 6144 | 60953 | 10 |
| 6145 | 60961 | 8 |
| 6146 | 61001 | 40 |
| 6147 | 61007 | 6 |
| 6148 | 61027 | 20 |
Questions
What is the 6145th prime number?
60961.
Which prime number is 60961?
60961 is the 6145th prime number.
What is the sum of the first 6145 primes?
177,172,496.