What is the 9597th prime number?
The 9597th prime number is 100057. The next prime is 100069 (a gap of 12) and the one before is 100049.
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 9597th one is 100057.
- 2
100057 is prime because no prime up to ā100057 ā 316.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9597th prime is close to 9597 Ć ln(9597) ā 87997, and here it is 100057.
- 4
100057 has no twin: neither 100055 nor 100059 is prime.
Primes around the 9597th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9594 | 100019 | 16 |
| 9595 | 100043 | 24 |
| 9596 | 100049 | 6 |
| 9597 | 100057 | 8 |
| 9598 | 100069 | 12 |
| 9599 | 100103 | 34 |
| 9600 | 100109 | 6 |
Questions
What is the 9597th prime number?
100057.
Which prime number is 100057?
100057 is the 9597th prime number.
What is the sum of the first 9597 primes?
454,896,708.