What is the 7403rd prime number?
The 7403rd prime number is 75133. The next prime is 75149 (a gap of 16) and the one before is 75109.
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 7403rd one is 75133.
- 2
75133 is prime because no prime up to ā75133 ā 274.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7403rd prime is close to 7403 Ć ln(7403) ā 65958, and here it is 75133.
- 4
75133 has no twin: neither 75131 nor 75135 is prime.
Primes around the 7403rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7400 | 75079 | 38 |
| 7401 | 75083 | 4 |
| 7402 | 75109 | 26 |
| 7403 | 75133 | 24 |
| 7404 | 75149 | 16 |
| 7405 | 75161 | 12 |
| 7406 | 75167 | 6 |
Questions
What is the 7403rd prime number?
75133.
Which prime number is 75133?
75133 is the 7403rd prime number.
What is the sum of the first 7403 primes?
262,824,654.