What is the 8141st prime number?
The 8141st prime number is 83401. The next prime is 83407 (a gap of 6) and the one before is 83399.
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 8141st one is 83401.
- 2
83401 is prime because no prime up to ā83401 ā 288.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8141st prime is close to 8141 Ć ln(8141) ā 73307, and here it is 83401.
- 4
83401 is a twin prime: 83399 and 83401 are both prime.
Primes around the 8141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8138 | 83383 | 26 |
| 8139 | 83389 | 6 |
| 8140 | 83399 | 10 |
| 8141 | 83401 | 2 |
| 8142 | 83407 | 6 |
| 8143 | 83417 | 10 |
| 8144 | 83423 | 6 |
Questions
What is the 8141st prime number?
83401.
Which prime number is 83401?
83401 is the 8141st prime number.
What is the sum of the first 8141 primes?
321,321,558.