What is the 9855th prime number?
The 9855th prime number is 103007. The next prime is 103043 (a gap of 36) and the one before is 103001.
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 9855th one is 103007.
- 2
103007 is prime because no prime up to ā103007 ā 320.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9855th prime is close to 9855 Ć ln(9855) ā 90624, and here it is 103007.
- 4
103007 has no twin: neither 103005 nor 103009 is prime.
Primes around the 9855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9852 | 102967 | 14 |
| 9853 | 102983 | 16 |
| 9854 | 103001 | 18 |
| 9855 | 103007 | 6 |
| 9856 | 103043 | 36 |
| 9857 | 103049 | 6 |
| 9858 | 103067 | 18 |
Questions
What is the 9855th prime number?
103007.
Which prime number is 103007?
103007 is the 9855th prime number.
What is the sum of the first 9855 primes?
481,096,252.