What is the 7943rd prime number?
The 7943rd prime number is 81157. The next prime is 81163 (a gap of 6) and the one before is 81131.
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 7943rd one is 81157.
- 2
81157 is prime because no prime up to ā81157 ā 284.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7943rd prime is close to 7943 Ć ln(7943) ā 71329, and here it is 81157.
- 4
81157 has no twin: neither 81155 nor 81159 is prime.
Primes around the 7943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7940 | 81101 | 4 |
| 7941 | 81119 | 18 |
| 7942 | 81131 | 12 |
| 7943 | 81157 | 26 |
| 7944 | 81163 | 6 |
| 7945 | 81173 | 10 |
| 7946 | 81181 | 8 |
Questions
What is the 7943rd prime number?
81157.
Which prime number is 81157?
81157 is the 7943rd prime number.
What is the sum of the first 7943 primes?
305,032,648.