What is the 7898th prime number?
The 7898th prime number is 80687. The next prime is 80701 (a gap of 14) and the one before is 80683.
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 7898th one is 80687.
- 2
80687 is prime because no prime up to ā80687 ā 284.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7898th prime is close to 7898 Ć ln(7898) ā 70880, and here it is 80687.
- 4
80687 has no twin: neither 80685 nor 80689 is prime.
Primes around the 7898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7895 | 80677 | 6 |
| 7896 | 80681 | 4 |
| 7897 | 80683 | 2 |
| 7898 | 80687 | 4 |
| 7899 | 80701 | 14 |
| 7900 | 80713 | 12 |
| 7901 | 80737 | 24 |
Questions
What is the 7898th prime number?
80687.
Which prime number is 80687?
80687 is the 7898th prime number.
What is the sum of the first 7898 primes?
301,390,861.