What is the 7855th prime number?
The 7855th prime number is 80221. The next prime is 80231 (a gap of 10) and the one before is 80209.
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 7855th one is 80221.
- 2
80221 is prime because no prime up to ā80221 ā 283.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7855th prime is close to 7855 Ć ln(7855) ā 70451, and here it is 80221.
- 4
80221 has no twin: neither 80219 nor 80223 is prime.
Primes around the 7855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7852 | 80191 | 14 |
| 7853 | 80207 | 16 |
| 7854 | 80209 | 2 |
| 7855 | 80221 | 12 |
| 7856 | 80231 | 10 |
| 7857 | 80233 | 2 |
| 7858 | 80239 | 6 |
Questions
What is the 7855th prime number?
80221.
Which prime number is 80221?
80221 is the 7855th prime number.
What is the sum of the first 7855 primes?
297,930,620.