What is the 7493rd prime number?
The 7493rd prime number is 76103. The next prime is 76123 (a gap of 20) and the one before is 76099.
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 7493rd one is 76103.
- 2
76103 is prime because no prime up to ā76103 ā 275.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7493rd prime is close to 7493 Ć ln(7493) ā 66850, and here it is 76103.
- 4
76103 has no twin: neither 76101 nor 76105 is prime.
Primes around the 7493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7490 | 76081 | 2 |
| 7491 | 76091 | 10 |
| 7492 | 76099 | 8 |
| 7493 | 76103 | 4 |
| 7494 | 76123 | 20 |
| 7495 | 76129 | 6 |
| 7496 | 76147 | 18 |
Questions
What is the 7493rd prime number?
76103.
Which prime number is 76103?
76103 is the 7493rd prime number.
What is the sum of the first 7493 primes?
269,629,588.