What is the 7478th prime number?
The 7478th prime number is 75941. The next prime is 75967 (a gap of 26) and the one before is 75937.
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 7478th one is 75941.
- 2
75941 is prime because no prime up to ā75941 ā 275.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7478th prime is close to 7478 Ć ln(7478) ā 66702, and here it is 75941.
- 4
75941 has no twin: neither 75939 nor 75943 is prime.
Primes around the 7478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7475 | 75913 | 30 |
| 7476 | 75931 | 18 |
| 7477 | 75937 | 6 |
| 7478 | 75941 | 4 |
| 7479 | 75967 | 26 |
| 7480 | 75979 | 12 |
| 7481 | 75983 | 4 |
Questions
What is the 7478th prime number?
75941.
Which prime number is 75941?
75941 is the 7478th prime number.
What is the sum of the first 7478 primes?
268,489,155.