What is the 7203rd prime number?
The 7203rd prime number is 72871. The next prime is 72883 (a gap of 12) and the one before is 72869.
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 7203rd one is 72871.
- 2
72871 is prime because no prime up to ā72871 ā 269.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7203rd prime is close to 7203 Ć ln(7203) ā 63979, and here it is 72871.
- 4
72871 is a twin prime: 72869 and 72871 are both prime.
Primes around the 7203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7200 | 72823 | 6 |
| 7201 | 72859 | 36 |
| 7202 | 72869 | 10 |
| 7203 | 72871 | 2 |
| 7204 | 72883 | 12 |
| 7205 | 72889 | 6 |
| 7206 | 72893 | 4 |
Questions
What is the 7203rd prime number?
72871.
Which prime number is 72871?
72871 is the 7203rd prime number.
What is the sum of the first 7203 primes?
248,025,852.