What is the 5035th prime number?
The 5035th prime number is 48991. The next prime is 49003 (a gap of 12) and the one before is 48989.
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 5035th one is 48991.
- 2
48991 is prime because no prime up to ā48991 ā 221.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5035th prime is close to 5035 Ć ln(5035) ā 42919, and here it is 48991.
- 4
48991 is a twin prime: 48989 and 48991 are both prime.
Primes around the 5035th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5032 | 48953 | 6 |
| 5033 | 48973 | 20 |
| 5034 | 48989 | 16 |
| 5035 | 48991 | 2 |
| 5036 | 49003 | 12 |
| 5037 | 49009 | 6 |
| 5038 | 49019 | 10 |
Questions
What is the 5035th prime number?
48991.
Which prime number is 48991?
48991 is the 5035th prime number.
What is the sum of the first 5035 primes?
116,163,238.