What is the 7542nd prime number?
The 7542nd prime number is 76679. The next prime is 76697 (a gap of 18) and the one before is 76673.
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 7542nd one is 76679.
- 2
76679 is prime because no prime up to ā76679 ā 276.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7542nd prime is close to 7542 Ć ln(7542) ā 67337, and here it is 76679.
- 4
76679 has no twin: neither 76677 nor 76681 is prime.
Primes around the 7542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7539 | 76651 | 2 |
| 7540 | 76667 | 16 |
| 7541 | 76673 | 6 |
| 7542 | 76679 | 6 |
| 7543 | 76697 | 18 |
| 7544 | 76717 | 20 |
| 7545 | 76733 | 16 |
Questions
What is the 7542nd prime number?
76679.
Which prime number is 76679?
76679 is the 7542nd prime number.
What is the sum of the first 7542 primes?
273,373,573.