What is the 5043rd prime number?
The 5043rd prime number is 49057. The next prime is 49069 (a gap of 12) and the one before is 49043.
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 5043rd one is 49057.
- 2
49057 is prime because no prime up to ā49057 ā 221.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5043rd prime is close to 5043 Ć ln(5043) ā 42995, and here it is 49057.
- 4
49057 has no twin: neither 49055 nor 49059 is prime.
Primes around the 5043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5040 | 49033 | 2 |
| 5041 | 49037 | 4 |
| 5042 | 49043 | 6 |
| 5043 | 49057 | 14 |
| 5044 | 49069 | 12 |
| 5045 | 49081 | 12 |
| 5046 | 49103 | 22 |
Questions
What is the 5043rd prime number?
49057.
Which prime number is 49057?
49057 is the 5043rd prime number.
What is the sum of the first 5043 primes?
116,555,470.