A method for therapeutically treating a vertebrate having cancer, an autoimmune disorder, airway inflammation, inflammatory disorders, skin disorders, allergy, asthma or a disease caused by a pathogen, such method comprising administering to the patient an immunostimulatory oligonucleotide having a structure from the group of 5′-TCAGTCG2TTAG-X-GATTG2CTGACT-5′ (SEQ ID NO:
- 2);
- 5′-TCG2TCG2TTAGA-X-AGATTG2CTG2CT-5′ (SEQ ID NO:
- 3);
- 5′-CAGTCG2TTCAG-X-GACTTG2CTGAC-5′ (SEQ ID NO:
- 4);
- 5′-TCAGTCG1TTAG-X-GATTG1CTGACT-5′ (SEQ ID NO:
- 5);
- 5′-TCG1TCG1TTAGA-X-AGATTG1CTG1CT-5′ (SEQ ID NO:
- 6) and 5′-CAGTCG1TTCAG-X-GACTTG1CTGAC-5′ (SEQ ID NO:
- 7);
- wherein G1=2′-deoxy-7-deazaguanosine;
- G2=arabinoguanosine;
- and X=glycerol linker.