What is the 7225th prime number?
The 7225th prime number is 73061. The next prime is 73063 (a gap of 2) and the one before is 73043.
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 7225th one is 73061.
- 2
73061 is prime because no prime up to ā73061 ā 270.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7225th prime is close to 7225 Ć ln(7225) ā 64196, and here it is 73061.
- 4
73061 is a twin prime: 73061 and 73063 are both prime.
Primes around the 7225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7222 | 73037 | 18 |
| 7223 | 73039 | 2 |
| 7224 | 73043 | 4 |
| 7225 | 73061 | 18 |
| 7226 | 73063 | 2 |
| 7227 | 73079 | 16 |
| 7228 | 73091 | 12 |
Questions
What is the 7225th prime number?
73061.
Which prime number is 73061?
73061 is the 7225th prime number.
What is the sum of the first 7225 primes?
249,631,056.