What is the 9155th prime number?
The 9155th prime number is 94961. The next prime is 94993 (a gap of 32) and the one before is 94951.
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 9155th one is 94961.
- 2
94961 is prime because no prime up to ā94961 ā 308.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9155th prime is close to 9155 Ć ln(9155) ā 83512, and here it is 94961.
- 4
94961 has no twin: neither 94959 nor 94963 is prime.
Primes around the 9155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9152 | 94933 | 26 |
| 9153 | 94949 | 16 |
| 9154 | 94951 | 2 |
| 9155 | 94961 | 10 |
| 9156 | 94993 | 32 |
| 9157 | 94999 | 6 |
| 9158 | 95003 | 4 |
Questions
What is the 9155th prime number?
94961.
Which prime number is 94961?
94961 is the 9155th prime number.
What is the sum of the first 9155 primes?
411,802,298.