What is the 4503rd prime number?
The 4503rd prime number is 43093. The next prime is 43103 (a gap of 10) and the one before is 43067.
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 4503rd one is 43093.
- 2
43093 is prime because no prime up to ā43093 ā 207.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4503rd prime is close to 4503 Ć ln(4503) ā 37881, and here it is 43093.
- 4
43093 has no twin: neither 43091 nor 43095 is prime.
Primes around the 4503rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4500 | 43051 | 2 |
| 4501 | 43063 | 12 |
| 4502 | 43067 | 4 |
| 4503 | 43093 | 26 |
| 4504 | 43103 | 10 |
| 4505 | 43117 | 14 |
| 4506 | 43133 | 16 |
Questions
What is the 4503rd prime number?
43093.
Which prime number is 43093?
43093 is the 4503rd prime number.
What is the sum of the first 4503 primes?
91,649,652.