What is the 9857th prime number?
The 9857th prime number is 103049. The next prime is 103067 (a gap of 18) and the one before is 103043.
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 9857th one is 103049.
- 2
103049 is prime because no prime up to ā103049 ā 321.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9857th prime is close to 9857 Ć ln(9857) ā 90644, and here it is 103049.
- 4
103049 has no twin: neither 103047 nor 103051 is prime.
Primes around the 9857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9854 | 103001 | 18 |
| 9855 | 103007 | 6 |
| 9856 | 103043 | 36 |
| 9857 | 103049 | 6 |
| 9858 | 103067 | 18 |
| 9859 | 103069 | 2 |
| 9860 | 103079 | 10 |
Questions
What is the 9857th prime number?
103049.
Which prime number is 103049?
103049 is the 9857th prime number.
What is the sum of the first 9857 primes?
481,302,344.