What is the 8101st prime number?
The 8101st prime number is 82903. The next prime is 82913 (a gap of 10) and the one before is 82891.
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 8101st one is 82903.
- 2
82903 is prime because no prime up to ā82903 ā 287.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8101st prime is close to 8101 Ć ln(8101) ā 72907, and here it is 82903.
- 4
82903 has no twin: neither 82901 nor 82905 is prime.
Primes around the 8101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8098 | 82883 | 36 |
| 8099 | 82889 | 6 |
| 8100 | 82891 | 2 |
| 8101 | 82903 | 12 |
| 8102 | 82913 | 10 |
| 8103 | 82939 | 26 |
| 8104 | 82963 | 24 |
Questions
What is the 8101st prime number?
82903.
Which prime number is 82903?
82903 is the 8101st prime number.
What is the sum of the first 8101 primes?
317,994,630.