What is the 9854th prime number?
The 9854th prime number is 103001. The next prime is 103007 (a gap of 6) and the one before is 102983.
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 9854th one is 103001.
- 2
103001 is prime because no prime up to ā103001 ā 320.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9854th prime is close to 9854 Ć ln(9854) ā 90614, and here it is 103001.
- 4
103001 has no twin: neither 102999 nor 103003 is prime.
Primes around the 9854th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9851 | 102953 | 22 |
| 9852 | 102967 | 14 |
| 9853 | 102983 | 16 |
| 9854 | 103001 | 18 |
| 9855 | 103007 | 6 |
| 9856 | 103043 | 36 |
| 9857 | 103049 | 6 |
Questions
What is the 9854th prime number?
103001.
Which prime number is 103001?
103001 is the 9854th prime number.
What is the sum of the first 9854 primes?
480,993,245.