What is the 7215th prime number?
The 7215th prime number is 72959. The next prime is 72973 (a gap of 14) and the one before is 72953.
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 7215th one is 72959.
- 2
72959 is prime because no prime up to ā72959 ā 270.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7215th prime is close to 7215 Ć ln(7215) ā 64097, and here it is 72959.
- 4
72959 has no twin: neither 72957 nor 72961 is prime.
Primes around the 7215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7212 | 72937 | 6 |
| 7213 | 72949 | 12 |
| 7214 | 72953 | 4 |
| 7215 | 72959 | 6 |
| 7216 | 72973 | 14 |
| 7217 | 72977 | 4 |
| 7218 | 72997 | 20 |
Questions
What is the 7215th prime number?
72959.
Which prime number is 72959?
72959 is the 7215th prime number.
What is the sum of the first 7215 primes?
248,900,888.