What is the 5103rd prime number?
The 5103rd prime number is 49681. The next prime is 49697 (a gap of 16) and the one before is 49669.
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 5103rd one is 49681.
- 2
49681 is prime because no prime up to ā49681 ā 222.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5103rd prime is close to 5103 Ć ln(5103) ā 43567, and here it is 49681.
- 4
49681 has no twin: neither 49679 nor 49683 is prime.
Primes around the 5103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5100 | 49663 | 24 |
| 5101 | 49667 | 4 |
| 5102 | 49669 | 2 |
| 5103 | 49681 | 12 |
| 5104 | 49697 | 16 |
| 5105 | 49711 | 14 |
| 5106 | 49727 | 16 |
Questions
What is the 5103rd prime number?
49681.
Which prime number is 49681?
49681 is the 5103rd prime number.
What is the sum of the first 5103 primes?
119,517,896.