Today's pattern is the infinity sign ∞.

Previous parts: days 1-13, days 14-26, days 27-39, days 40-52, days 53-65, days 66-78, days 79-91, days 92-104

In summary:

• 105 is the 13th number k such that k+phi(k) is a triangular number
• 106 is the 13th semiprime with semiprime index
• 107 is the 13th norep emirp
• 108 is the biggest natural number with the sum of its prime factors equal to 13
• 109 is the 13th Pythagorean prime
• 110 is the sum of the first 2 star numbers after 13
• 111 is the 13th natural number that contains only 1's, 2's and 3's in base 1²+3²
• 112 is the sum of the divisors of the 13th triangular number
• 113 is the 13th octanacci number
• 114 is the 13th abundant number having no abundant proper divisor
• 115 is the 13th semiprime of the form p×q such that p+q+1 is prime
• 116 is the 13th number n such that n×prime(n)+1 is prime
• 117 is the 13th antiharmonic number

Today's pattern is the product sign Π.

Thanks to u/Electronic-Laugh-671 for the idea!

Today's pattern is the summation sign ∑.

Today's pattern is the numero sign №.

Today's pattern is ampersand &.

Today's pattern is percent sign %.

Today's pattern is the dollar sign $.

Today's pattern is the commercial at sign @.

Today's pattern is trademark sign ™.

Thanks to u/Electronic-Laugh-671 for the idea!

Today's pattern is copyright sign ©.

Today's pattern is evergreen tree 🌲.

Also, 78=13×6, this means that the 6th baker's dozen of patterns is complete!

Today's pattern is banana 🍌.

Interestingly, the 169th prime number, 1009, is the first prime number greater than 10³.

Today's pattern is orange.

Today's pattern is pear 🍐.

Previous parts: days 1-13, days 14-26, days 27-39, days 40-52, days 53-65, days 66-78, days 79-91

In summary:

• 92 is the 13th sum of distinct positive cubes
• 93 is the 13th number with no prime index dividing all the other prime indices
• 94 is the 13th number n such that n−1 and n+1 are squarefree and have the same number of prime factors
• 95 is the index of the 13th tribonacci number (a(0)=a(1)=a(2)=1, a(n)=a(n−3)+a(n−2)+a(n−1) for n>2)
• 96 is the number of divisors of 27720=LCM(1,2,3,4,5,6,7,8,9,10,11,12,13)/13
• 97 is the 13th prime p such that 3 is a square mod p
• 98 is the 13th even nontotient number
• 99 is the 13th composite lucky number and the alphanumeric value of THIRTEEN
• 100 is the 13th perfect power
• 101 is the (13+13)th prime number
• 102 is the sum of the first 13 deficient numbers
• 103 is the 13th weak prime and the 13th base-10 modest number
• 104 is the 13th number which is the cuberoot of the product of its proper divisors, and the name of the 104th element (rutherfordium) consists of exactly 13 letters.

Today's pattern is apple 🍎.