What is the 903rd prime number?
The 903rd prime number is 7019. The next prime is 7027 (a gap of 8) and the one before is 7013.
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 903rd one is 7019.
- 2
7019 is prime because no prime up to ā7019 ā 83.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 903rd prime is close to 903 Ć ln(903) ā 6146, and here it is 7019.
- 4
7019 has no twin: neither 7017 nor 7021 is prime.
Primes around the 903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 900 | 6997 | 6 |
| 901 | 7001 | 4 |
| 902 | 7013 | 12 |
| 903 | 7019 | 6 |
| 904 | 7027 | 8 |
| 905 | 7039 | 12 |
| 906 | 7043 | 4 |
Questions
What is the 903rd prime number?
7019.
Which prime number is 7019?
7019 is the 903rd prime number.
What is the sum of the first 903 primes?
2,956,504.