What is the 5029th prime number?
The 5029th prime number is 48889. The next prime is 48907 (a gap of 18) and the one before is 48883.
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 5029th one is 48889.
- 2
48889 is prime because no prime up to ā48889 ā 221.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5029th prime is close to 5029 Ć ln(5029) ā 42862, and here it is 48889.
- 4
48889 has no twin: neither 48887 nor 48891 is prime.
Primes around the 5029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5026 | 48869 | 10 |
| 5027 | 48871 | 2 |
| 5028 | 48883 | 12 |
| 5029 | 48889 | 6 |
| 5030 | 48907 | 18 |
| 5031 | 48947 | 40 |
| 5032 | 48953 | 6 |
Questions
What is the 5029th prime number?
48889.
Which prime number is 48889?
48889 is the 5029th prime number.
What is the sum of the first 5029 primes?
115,869,478.