What is the 9101st prime number?
The 9101st prime number is 94351. The next prime is 94379 (a gap of 28) and the one before is 94349.
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 9101st one is 94351.
- 2
94351 is prime because no prime up to ā94351 ā 307.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9101st prime is close to 9101 Ć ln(9101) ā 82966, and here it is 94351.
- 4
94351 is a twin prime: 94349 and 94351 are both prime.
Primes around the 9101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9098 | 94331 | 4 |
| 9099 | 94343 | 12 |
| 9100 | 94349 | 6 |
| 9101 | 94351 | 2 |
| 9102 | 94379 | 28 |
| 9103 | 94397 | 18 |
| 9104 | 94399 | 2 |
Questions
What is the 9101st prime number?
94351.
Which prime number is 94351?
94351 is the 9101st prime number.
What is the sum of the first 9101 primes?
406,690,488.