What is the 9598th prime number?
The 9598th prime number is 100069. The next prime is 100103 (a gap of 34) and the one before is 100057.
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 9598th one is 100069.
- 2
100069 is prime because no prime up to ā100069 ā 316.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9598th prime is close to 9598 Ć ln(9598) ā 88007, and here it is 100069.
- 4
100069 has no twin: neither 100067 nor 100071 is prime.
Primes around the 9598th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9595 | 100043 | 24 |
| 9596 | 100049 | 6 |
| 9597 | 100057 | 8 |
| 9598 | 100069 | 12 |
| 9599 | 100103 | 34 |
| 9600 | 100109 | 6 |
| 9601 | 100129 | 20 |
Questions
What is the 9598th prime number?
100069.
Which prime number is 100069?
100069 is the 9598th prime number.
What is the sum of the first 9598 primes?
454,996,777.