What is the 7260th prime number?
The 7260th prime number is 73529. The next prime is 73547 (a gap of 18) and the one before is 73523.
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 7260th one is 73529.
- 2
73529 is prime because no prime up to ā73529 ā 271.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7260th prime is close to 7260 Ć ln(7260) ā 64542, and here it is 73529.
- 4
73529 has no twin: neither 73527 nor 73531 is prime.
Primes around the 7260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7257 | 73483 | 6 |
| 7258 | 73517 | 34 |
| 7259 | 73523 | 6 |
| 7260 | 73529 | 6 |
| 7261 | 73547 | 18 |
| 7262 | 73553 | 6 |
| 7263 | 73561 | 8 |
Questions
What is the 7260th prime number?
73529.
Which prime number is 73529?
73529 is the 7260th prime number.
What is the sum of the first 7260 primes?
252,197,151.