What is the 7743rd prime number?
The 7743rd prime number is 78941. The next prime is 78977 (a gap of 36) and the one before is 78929.
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 7743rd one is 78941.
- 2
78941 is prime because no prime up to ā78941 ā 280.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7743rd prime is close to 7743 Ć ln(7743) ā 69335, and here it is 78941.
- 4
78941 has no twin: neither 78939 nor 78943 is prime.
Primes around the 7743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7740 | 78901 | 8 |
| 7741 | 78919 | 18 |
| 7742 | 78929 | 10 |
| 7743 | 78941 | 12 |
| 7744 | 78977 | 36 |
| 7745 | 78979 | 2 |
| 7746 | 78989 | 10 |
Questions
What is the 7743rd prime number?
78941.
Which prime number is 78941?
78941 is the 7743rd prime number.
What is the sum of the first 7743 primes?
289,014,242.