Problems & Puzzles: Conjectures

1.- Goldbach's Conjecture

2.- Chen's Conjecture

3.- Twin Prime's Conjecture

4.- Fermat primes are finite

5.- Are there infinitely many primes of the form n2+1?

6.- Quantity of primes in a given range: Opperman, Brocard & Schinzel conjectures?

7.- The Cramer's Conjecture

8.- Andrica’s Conjecture

9.- Shank's Conjecture

10.- Champions and Primorial Numbers

11.- Is there any odd Perfect Number ?

12.- Selfridge challenge

13.- Sierpinski numbers 

14.- Enoch Haga Observation about Palprimes  

15.- The New Mersenne Conjecture

16.- n^n+1

17.- The Ludovicus conjecture about Euler trinomials  

18.- Minimal primorial partitions (a conjecture by John Harvester)

19.  A bound to the largest prime factor of certain Carmichael numbers

20. The first N natural numbers listed in an order such that the sum of each two adjacent of them is a prime number, and the Rivera's Algorithm

21. Rivera's Conjectures about the representation of every natural number as an algebraic sum of distinct consecutive prime numbers.

22. A stronger version of the Goldbach Conjecture 

23. The Shyam's conjecture about the Rare Numbers

24. Paul Underwood's conjecture  

25. sopf(n) = sopf(n+k)  

26. The Calendar-like square Conjecture

27. A Charles Ashbacher Conjecture

28. Frank Buss's Conjecture

29. The Frank Buss's  B(n) function

30. The Firoozbakht Conjecture

31. The Fermat-Catalan & Beal's Conjectures

32. The ABC Conjecture

33. The Goldbach Temptation

34. n & n2, Triangular Numbers

35. The Firoozbakht functions

36. The Sinisalo-Ludovicus Conjecture

37. The Tutescu's Conjecture

38. Adrian Stoica’s Conjecture

39. Ingala's Conjecture

40. Karama's Conjecture

41. Pe's Conjecture

42. Severini's conjecture

43. Three consecutive primes

44. A property of prime twins, only?

45. Even numbers as sum of 4 twin primes.

46. P-Q=R-S

47. P=2P1 + 3P2

48. P=A+/-B

49. n = pq + rs

50. n = pq - rs

51 : Two approximate relationships about prime numbers

52 : SMR Conjecture about consecutive primes

53. Floor function & consecutive primes

54. Reversible primes conjeture

55. n = m^2 + p + d

56. One  more SMR conjecture.

57. |P(i-1)-2P(i)+P(i+1)|  

58. Primes m^2+1

59. n!+p(n)=m^k

60. Generalization of Legendre's Conjecture

61. THE MEAN MAXIMUM GAP BETWEEN PRIMES

62. Generalization of Bertrand's Postulate

63. Consecutive primes sum to a perfect power.

64. NUMBER OF PRIME TWINS

65. Non-Euclidean primes

66. Gaps between consecutive twin pairs

67. primes & e

68. Based on an Euler's Conjecture

69. A Conjecture & proposed Axiom

70. n & n+1 primitive roots

71. Twin primes and π.

72. Counting twin primes.

73. Counting primes by the last significant digit.

74. What is true assuming valid this...

75. Sebastian's formula for a special case of the Carmichael function.

76. Conjectures related to sequence (P[n])^(1/n)

77. Gaps between primes of the form p=qn+r

78. Pn^((Pn+1/Pn)^n)<=n^Pn

79. Rodolfo Kurchan's Conjecture

 

 


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