What is the 8753rd prime number?
The 8753rd prime number is 90401. The next prime is 90403 (a gap of 2) and the one before is 90397.
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 8753rd one is 90401.
- 2
90401 is prime because no prime up to ā90401 ā 300.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8753rd prime is close to 8753 Ć ln(8753) ā 79452, and here it is 90401.
- 4
90401 is a twin prime: 90401 and 90403 are both prime.
Primes around the 8753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8750 | 90373 | 2 |
| 8751 | 90379 | 6 |
| 8752 | 90397 | 18 |
| 8753 | 90401 | 4 |
| 8754 | 90403 | 2 |
| 8755 | 90407 | 4 |
| 8756 | 90437 | 30 |
Questions
What is the 8753rd prime number?
90401.
Which prime number is 90401?
90401 is the 8753rd prime number.
What is the sum of the first 8753 primes?
374,534,632.