What is the 9596th prime number?
The 9596th prime number is 100049. The next prime is 100057 (a gap of 8) and the one before is 100043.
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 9596th one is 100049.
- 2
100049 is prime because no prime up to ā100049 ā 316.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9596th prime is close to 9596 Ć ln(9596) ā 87987, and here it is 100049.
- 4
100049 has no twin: neither 100047 nor 100051 is prime.
Primes around the 9596th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9593 | 100003 | 12 |
| 9594 | 100019 | 16 |
| 9595 | 100043 | 24 |
| 9596 | 100049 | 6 |
| 9597 | 100057 | 8 |
| 9598 | 100069 | 12 |
| 9599 | 100103 | 34 |
Questions
What is the 9596th prime number?
100049.
Which prime number is 100049?
100049 is the 9596th prime number.
What is the sum of the first 9596 primes?
454,796,651.