What is the 9601st prime number?
The 9601st prime number is 100129. The next prime is 100151 (a gap of 22) and the one before is 100109.
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 9601st one is 100129.
- 2
100129 is prime because no prime up to ā100129 ā 316.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9601st prime is close to 9601 Ć ln(9601) ā 88038, and here it is 100129.
- 4
100129 has no twin: neither 100127 nor 100131 is prime.
Primes around the 9601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9598 | 100069 | 12 |
| 9599 | 100103 | 34 |
| 9600 | 100109 | 6 |
| 9601 | 100129 | 20 |
| 9602 | 100151 | 22 |
| 9603 | 100153 | 2 |
| 9604 | 100169 | 16 |
Questions
What is the 9601st prime number?
100129.
Which prime number is 100129?
100129 is the 9601st prime number.
What is the sum of the first 9601 primes?
455,297,118.