What is the 7103rd prime number?
The 7103rd prime number is 71761. The next prime is 71777 (a gap of 16) and the one before is 71741.
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 7103rd one is 71761.
- 2
71761 is prime because no prime up to ā71761 ā 267.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7103rd prime is close to 7103 Ć ln(7103) ā 62991, and here it is 71761.
- 4
71761 has no twin: neither 71759 nor 71763 is prime.
Primes around the 7103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7100 | 71713 | 2 |
| 7101 | 71719 | 6 |
| 7102 | 71741 | 22 |
| 7103 | 71761 | 20 |
| 7104 | 71777 | 16 |
| 7105 | 71789 | 12 |
| 7106 | 71807 | 18 |
Questions
What is the 7103rd prime number?
71761.
Which prime number is 71761?
71761 is the 7103rd prime number.
What is the sum of the first 7103 primes?
240,796,312.