What is the 9853rd prime number?
The 9853rd prime number is 102983. The next prime is 103001 (a gap of 18) and the one before is 102967.
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 9853rd one is 102983.
- 2
102983 is prime because no prime up to ā102983 ā 320.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9853rd prime is close to 9853 Ć ln(9853) ā 90604, and here it is 102983.
- 4
102983 has no twin: neither 102981 nor 102985 is prime.
Primes around the 9853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9850 | 102931 | 2 |
| 9851 | 102953 | 22 |
| 9852 | 102967 | 14 |
| 9853 | 102983 | 16 |
| 9854 | 103001 | 18 |
| 9855 | 103007 | 6 |
| 9856 | 103043 | 36 |
Questions
What is the 9853rd prime number?
102983.
Which prime number is 102983?
102983 is the 9853rd prime number.
What is the sum of the first 9853 primes?
480,890,244.