What is the 9850th prime number?
The 9850th prime number is 102931. The next prime is 102953 (a gap of 22) and the one before is 102929.
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 9850th one is 102931.
- 2
102931 is prime because no prime up to ā102931 ā 320.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9850th prime is close to 9850 Ć ln(9850) ā 90573, and here it is 102931.
- 4
102931 is a twin prime: 102929 and 102931 are both prime.
Primes around the 9850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9847 | 102911 | 30 |
| 9848 | 102913 | 2 |
| 9849 | 102929 | 16 |
| 9850 | 102931 | 2 |
| 9851 | 102953 | 22 |
| 9852 | 102967 | 14 |
| 9853 | 102983 | 16 |
Questions
What is the 9850th prime number?
102931.
Which prime number is 102931?
102931 is the 9850th prime number.
What is the sum of the first 9850 primes?
480,581,341.