What is the 7948th prime number?
The 7948th prime number is 81199. The next prime is 81203 (a gap of 4) and the one before is 81197.
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 7948th one is 81199.
- 2
81199 is prime because no prime up to ā81199 ā 284.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7948th prime is close to 7948 Ć ln(7948) ā 71378, and here it is 81199.
- 4
81199 is a twin prime: 81197 and 81199 are both prime.
Primes around the 7948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7945 | 81173 | 10 |
| 7946 | 81181 | 8 |
| 7947 | 81197 | 16 |
| 7948 | 81199 | 2 |
| 7949 | 81203 | 4 |
| 7950 | 81223 | 20 |
| 7951 | 81233 | 10 |
Questions
What is the 7948th prime number?
81199.
Which prime number is 81199?
81199 is the 7948th prime number.
What is the sum of the first 7948 primes?
305,438,561.