What is the 7263rd prime number?
The 7263rd prime number is 73561. The next prime is 73571 (a gap of 10) and the one before is 73553.
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 7263rd one is 73561.
- 2
73561 is prime because no prime up to ā73561 ā 271.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7263rd prime is close to 7263 Ć ln(7263) ā 64572, and here it is 73561.
- 4
73561 has no twin: neither 73559 nor 73563 is prime.
Primes around the 7263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7260 | 73529 | 6 |
| 7261 | 73547 | 18 |
| 7262 | 73553 | 6 |
| 7263 | 73561 | 8 |
| 7264 | 73571 | 10 |
| 7265 | 73583 | 12 |
| 7266 | 73589 | 6 |
Questions
What is the 7263rd prime number?
73561.
Which prime number is 73561?
73561 is the 7263rd prime number.
What is the sum of the first 7263 primes?
252,417,812.