What is the 7083rd prime number?
The 7083rd prime number is 71503. The next prime is 71527 (a gap of 24) and the one before is 71483.
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 7083rd one is 71503.
- 2
71503 is prime because no prime up to ā71503 ā 267.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7083rd prime is close to 7083 Ć ln(7083) ā 62794, and here it is 71503.
- 4
71503 has no twin: neither 71501 nor 71505 is prime.
Primes around the 7083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7080 | 71473 | 2 |
| 7081 | 71479 | 6 |
| 7082 | 71483 | 4 |
| 7083 | 71503 | 20 |
| 7084 | 71527 | 24 |
| 7085 | 71537 | 10 |
| 7086 | 71549 | 12 |
Questions
What is the 7083rd prime number?
71503.
Which prime number is 71503?
71503 is the 7083rd prime number.
What is the sum of the first 7083 primes?
239,363,468.